# Angular Dynamics Lab Report

Yet, fine quantum-mechanical structures in product angular distributions of a reactive scattering process, such as the fast oscillations in the forward-scattering direction, have never been. For example, protons in the Large Hadron Collider,. - Set up lab for use in DataStudio - Made experiment, where we found Angular Acceleration via slope of Angular Velocity vs Time graph - Did experiment for both Disk Only and Disk w/ Ring; re-ran experiment to find inaccuracies - Found moment of inertia for ring only by subtracting Disk Only from Disk w/ Ring. Each cell …. A population of bunnies, for instance, may increase due to reproduction or migration of. Now we already know that F = dp/dt so we should have exactly such a correspondence between the torque and the angular momentum, i. Rotation of a Rigid Body • Rotational Dynamics • The angular velocity vector points along the axis of. THE FLYWHEEL-18-The moment of inertia, I, is determined by imagining that the body is divided into a number of infinitesimal elements of mass /mi each at a distance ri from the axis of rotation. Data for the Rotational Dynamics Lab. Individual printouts should be τ to the resulting angular acceleration. Lab 5: Rotational Motion II Written October-November 1986 by Nancy Bronder '86, Tom Budka '89, Bob Hamwey GS, D. In this tutorial we begin to explore ideas of velocity and acceleration. Guidelines for a Physics Lab Reports A laboratory report has three main functions: (1) To provide a record of the experiments and raw data included in the report, (2) To provide sufficient information to reproduce or extend the data, and (3) To analyze the data, present conclusions and make recommendations based on the experimental work. Join AP Classroom 4VQPGZ at Sign in to your account. Between dates, the probability that the. Thus, the angular velocity of the disk at this instant (with reference to X, Y,Z) can be expressed in terms of i, j, k components. Labs & Activities Directory. of the angular velocity of rotation. The above points were for general lab reports. Lab reports are an essential part of all laboratory courses and usually a significant part of your grade. The angular magnification is defined as the ratio of the angular size of the image subtended at the eye (seen through the telescope) to the angular size of the object subtended at the eye (seen without the telescope). Transpiration is the major mechanism that drives the movement of water through a plant. Science Team. Learning Objectives Express the rotational kinetic energy as a function of the angular velocity and the moment of inertia, and relate it to the total kinetic energy. The incubation period is set to 5. All populations of living things change in size over time. This formula can once again be linearised using the small angle approximation to obtain Experimental Method: A C program was used to simulate the system of the pendulum, and to write the data to a file. 2) A graph of angular velocity as a function of time showing how was evaluated. 1: Position, Velocity and Acceleration. Requested By:. This type of motion occurs in a plane perpendicular to the axis of rotation. AP Physics B Lab Report March Essay Pages: 3 (538 words) Physics coursework Essay Pages: 6 (1357 words) Velocity and Smart Timer Essay Pages: 10 (2407 words). University. Disk1 should be attached to the rotary motion sensor as in the previous lab. In the first week of this lab, concentrate on developing a procedure that will allow you to determine the moment of inertia for the system using these two methods. Personality and Social Dynamics Lab | Sanjay Srivastava Home. After developing those ideas, students will try to determine two rotational kinematic equations and compare them to their linear. The biomass is. Linear Elastic Vibrations. By the end of this unit students should be able to: (a) describe the moment of inertia of a rigid body and (b) apply this rotational form of Newton's second law to physical situations. oc, , , , Draw a free body diagram of the falling mass. "Jupiter is the oldest planets in the solar system, and its solid core formed well before the solar nebula gas dissipated, consistent with the core accretion model for giant planet formation. Physics 195A Kinematics Projectile Motion Newton's 2nd Law Centripetal Motion Energy Conservation/Range Prediction Conservation of Linear Momentum Rotational Dynamics Angular Momentum Torsional Oscillator/Ring Pendulum. We must include rotational kinetic energy in order to apply the principle of conservation of energy to systems involving rotational motion. Angular momentum • A particle at position r1 with linear momentum p has angular momentum,, Where r = r(x,y,z) and momentum vector is given by, • Therefore angular momentum can be written as, • Writing L in the matrix form and evaluating it gives the Lx, Ly and Lz components = dz d dy d dx d i p ,, r h L r p r r r = × = × ∇ r r hv i L r. Calculate the angular acceleration of the axle from the tangent acceleration. Be sure to click save to save the zip file to your computer. So, the first thing we are going to do is the find the center of mass of the meter stick. connecting rod length L, and angular velocity ω of the crankshaft may also be observed. OBJECTIVES: 1. Website (Physics Hypertextbook): Rotational Dynamics; Rotational dynamics is Rotational Inertia Demo: Disk Roll & Balance stick. Below are the main findings of the research. In the first week of this lab, concentrate on developing a procedure that will allow you to determine the moment of inertia for the system using these two methods. - Set up lab for use in DataStudio - Made experiment, where we found Angular Acceleration via slope of Angular Velocity vs Time graph - Did experiment for both Disk Only and Disk w/ Ring; re-ran experiment to find inaccuracies - Found moment of inertia for ring only by subtracting Disk Only from Disk w/ Ring. CPB30004- Process Dynamics and Control Experiment 4: Gas Pressure Process Control Page |6 4. txt · Last modified: 2015/11/09 20:11 by vyhmeise. Flow Control loop and Flow transmitter 4. Page 3 Physics 220 Lab #6: Circular Motion r = 4. 4 was ripped off and his arms were returned to the tabletop for observation. 2 To study the different types of brakes. Use the hexagonal sockets to grip specimen on torsion testing machine. Inertia - Basic Introduction, Torque, Angular Acceleration, Newton's Second Law, Rotational Motion - Duration: 11:58. for moment of inertia. Double click on the Physics Lab folder and select Rotational Dynamics icon. Then, work through the exploration, measurement, analysis, and conclusion sections in sequence, keeping a record of your findings in your lab notebook. The workshop, held in conjunction with the 10th ACM Conference on Bioinformatics, Computational Biology, and Health Informatics, brings together field practitioners of molecular epidemiology, molecular evolutionists, population geneticists, medical researchers. In other words, objects moving in a straight line. Before coming to lab you should be able to:. Dynamics for rotational motion is completely analogous to linear or translational dynamics. Guidelines for a Physics Lab Reports A laboratory report has three main functions: (1) To provide a record of the experiments and raw data included in the report, (2) To provide sufficient information to reproduce or extend the data, and (3) To analyze the data, present conclusions and make recommendations based on the experimental work. Animation. Newton’s First Law of Motion. Microsoft MB-700 Reliable Test Testking Also we have a strict information system which can guarantee your information safety, By using our MB-700 preparation materials: Microsoft Dynamics 365: Finance and Operations Apps Solution Architect, your preparation will be full of joyful feelings, In fact there are about 8000 candidates choosing our MB-700 actual test dumps to help them pass exams. Friction Lab report Essay Sample This experiment measures the coefficient of static friction (μs) and kinetic friction (μk) between objects of different materials. 5 million from Epstein. Test Number: 2171. Rolling Without Slipping 22. We applied this framework to the free-body motion of a symmetrical body whose angular momentum vector was not aligned with a principal axis. Rotational Kinetic Energy 21. The equations of angular kinematics are extremely similar to the usual equations of kinematics, with quantities like displacements replaced by angular displacements and velocities replaced by angular velocities. M A R U F U R R A H M A N 2 8 2 4 0 1 3 = 0. Likewise, angular mo- mentum L= I!is conserved in the absence of external torques. Traditional approaches to advocacy strategies, decision-making, and building power at the grassroots level fall short in an. docx), PDF File (. Kinematics Lab Report Abstract: The Sonic Ranger was used to generate data for the velocity of falling coffee filters with two different diameters and numbers of filters. Also include a sample velocity vs time graph for each type of collision (3 total) along with a nice analysis/conclusion. Most people are less familiar with rotational inertia and torque than with the simple mass and acceleration found in Newton's second law, F = m a. 1 Mass-Spring System 4. The research. (2) in the lab manual). Angular acceleration is the derivative of angular velocity, and the analogue of Newton's second law is that angular acceleration equals torque divided by moment of inertia. time graph for the Friction Tray, the Hover Puck and the Cart. Where k is a damping coefficient, A is the amplitude of the driving force, and is the angular frequency of this force. my lab report for this lab - I earned an A in the lab. The moment of inertia of an object depends on the shape of the object and the distribution of its mass relative to the object's axis of rotation. We now derive the most important rotational quantity in dynamics, the angular momentum, L, the analogue of linear momentum. Cimbala, Penn State University Latest revision: September 18, 2014 by Corey Breznak, Guangsheng Zhang and Prof. Proof: ( ) r ma r Fnet ( )r F net dt dl v m r a v v m r a dt dr dt dv m r dt dl l m r v τ. Calculate the moment of. Is the light on? Consider Hairer’s example. The research. Simulation of proportional controller 3. Drop the iron disk onto the table from a small height (less than 1 cm) above the table, so that the rim of the disk matches the rim of the table as closely as possible. Circular Motion & Torque Demonstration List. Cam and Follower 6. Motion Lab Report Introduction Simple harmonic motion is the motion of a mass on a spring when it is subject to the linear elastic restoring force given by Hooker’s Law. on StudyBlue. Objective: During this lab we will study what rotational Inertia is and how different shapes of masses and different masses behave inertially when compared to each other. And we’ll often drop the term “angular” since the context or units are adequate identification. 3 Energy Methods (Rayleigh) 4. moment inertia of a flywheel lab report 1. The Law of Conservation of Angular Momentum states that the initial and final angular momentum are equal and that if no net torque acts on an object then there is no change in angular momentum. The three are related by Newton’s second law for rotation: τ = I α. Calculate the moment of. Friction Machine 9. Dynamics of a symmetric top A common gyroscope with one xed point which is analogous to our lab setup is a symmetric top acting under the in uence of gravity. Theory Moment of inertia is a property of any rolling or spinning object that measures the object's resistance to change in a rotational direction. The theory of optimal foraging and its relation to central foraging was examined by using the beaver as a model. The radial component of is a r = v 2 /r = ω 2 r If the point moves in uniform circular motion, the period T of the motion for the point and the body is T = 2пr/v = 2п/ω. Lab reports are an essential part of all laboratory courses and usually a significant part of your grade. 4 Transverse Vibrations due to the distributed mass. First, price dynamics between 2008 and 2017 are assessed using a supply curve model. So we have −R m g sin θ = m R 2 α. (The best way to find our lab is to come through the CCB library [Converse 107]). Just as kinematics is routinely used to describe the trajectory of almost any physical system moving. General Physics 1 Laboratory 2017 8 I. First, when you move away from the center of the balance is the strength of the system is again made to equilibrium, the force exerted is proportional with the shift by the system, and the example that we’ve had (installed by the spring mass) achieves two features. 444 Now from equation no (4) we get Table for 2nd moment of inertia Mass (Kg) Height h (m) Average Time (s) Traveling speed V m/s Angular velocity rad/s 2nd moment of inertia I Kg m2. Moment of Inertia. Prediction 2: If the starting population of the predators is higher than the prey,. Experiments Note : In order to analyze these measurements, you will need the moments of inertia of the aluminum disk and the heavy ring with uncertainties, which you measured as part of Lab 9. includes my theory, procedure, resu View more. my lab report for this lab - I earned an A in the lab. The data in Table 1 are the speciﬁcations. If you complete the. dynamics is when things move in straight lines, sometimes speeding up or slowing down. Physics - Direct Method. 14+ Lab Report Templates – Google Docs, Word, PDF, Apple Pages If you are a medical student or a medical lab assistant, you’ll find yourself having for writing a report after report samples of laboratory tests you’ve conducted or helped with. If the net torque acting on a rigid object is zero, it will rotate with a constant angular velocity. Trust Lab ™ was created to quantify and actively improve trust for businesses and consumers in West Michigan. 325*〖10〗^ (-4) )=1. Energy flows in our bodies in biochemical pathways within cells and it also travels between organisms through food consumption. 00 radians/s 2, what is the torque? Answer: The torque can be found using the torque formula, and the moment of inertia of a solid disc. New focus issue on plant virology ! Given the importance of and rapid research progress in plant virology in recent years, Phytopathology emphasized virological advances in its Fundamental Aspects of Plant Viruses focus issue, which is available now. Rotation of a Rigid Body • Rotational Dynamics • The angular velocity vector points along the axis of. The torque applied to one wheel is 0. Fishbane: Chapter 9, sections 9 -2 to 9-6; Chapter 10. New Berlin, WI 53151. Human Impact on Ecosystems and Population Dynamics: Common Assignment 1 Population Dynamics Lab Report High School Biology Unit 2 2 Analyzing Human Impacts on Population Dynamics Introduction This lab is designed to give students exposure to the effects that indirect/direct human impact has on biodiversity. Lab: reading geologic maps for their structural information. Mode division multiplexing (MDM) is mooted as a technology to address future bandwidth issues and has been successfully demonstrated in free space using spatial modes with orbital angular momentum. Influences on human population dynamics include cultural, historical, religious, social, political and economic factors. as shown above. Using the vernier caliper, measure the diameter of the axle around which the string wraps. Toggle Joint 7. I have written this page in a fairly informal style, and I have not attempted to be comprehensive. (2) in the lab manual). Low-friction dynamics carts with spring bumper (or spring-. 1!˙ (t) ¯!(t) ˘ 1. o - These are values you measure or observe. A state variable z t equals one if the light is on at date t, zero if it’s o. Blood Type Testing Lab Report Section 1101 Nattanit Trakullapphan (Nam) Chawalnrath Wongdeshanan (Kat) Introduction: figure 1. Lab 11: Rotational Dynamics Objectives: • To understand the relationship between net torque and angular acceleration. Before you begin conducting your population dynamics lab, review the following descriptions for each lab variable. Rotational Dynamics - 1 Rotational Dynamics Overview: In this lab you will set a disk into rotational motion by pulling on a string wrapped around a spindle at its center; this will allow you to determine the relation between torque and angular acceleration. Angular Momentum. Angular momentum is rotational momentum that is conserved in the same way that linear momentum is conserved. Students use a free-body diagram and the appropriate algebra to describe the forces and accelerations involved in the ride. Plus, get practice tests, quizzes, and personalized coaching to help you succeed. LAB #6: Rotational Dynamics I - Moments of Inertia A Lab Consisting of 4 Activities Name: _____ Circle the name of the person to whose report your group printouts will be attached. The math behind the simulation is shown below. The rotational kinetic energy is the kinetic energy due to the rotation of an object and is part of its total kinetic energy. We plan to measure the period of one oscillation by measuring the time to it takes the pendulum to go through 20 oscillations and dividing that by 20. Coastal Dynamics Lab. Laboratory 13: Rotational Dynamics The dynamics of rotational motion of a rotating rigid body are dictated by: τ net = Iα (1) where α is the angular acceleration of the rigid body, I its moment of inertia and τ net the net torque on the body. Website (Physics Hypertextbook): Rotational Dynamics; Rotational dynamics is. Experiments typically found that 0. University of Akron. You should take the average of the acceleration data in an appropriate time interval. You may use the following data table in your lab report. The Sherwin-Williams Company. Angular Impulse 20. Pratt & Whitney Establishes New Center of Excellence with OSU GTL The Ohio State University will soon expand its investigation of jet engines and gas turbines, thanks to a collaboration with aerospace manufacturer Pratt & Whitney. docx), PDF File (. 1 Angular displacement To do linear dynamics, one must be able to specify precisely the location of an object. Precision medicine is advanced by profiling cellular-to-molecular diversity using microengineered tools. Labs: Report format. (2) in the lab manual). Test Number: 2171. This assumption is useful and sometimes good enough. 7 s (awful - too much echo and was much noisier than the old lab). Fan - Total resultant force M - Mass R- Radii C] Angular velocity Dynamic Balancing describes the process where primary forces and secondary force couples caused by unbalanced mass components in a rotating object may be resolved 2 into two (or more) planes and balanced by adding mass increments in those planes, which means the moments. You will also test conservation of energy and angular. According to Euler's rotation theorem, simultaneous rotation along a number of stationary. After doing this lab, we started to see the presence of momentum in our everyday lives. Experimental values (red dots) of α versus ω and a linear best ﬁt (blue curve) of them to equation (8). Each situation begins with a set of givens and is followed by a series of questions. Dynamics is concerned with force and mass and their effects on motion. In this lab you will be looking at the different changes that take place for horizontal oscillations when the speed or mass of an object is changed or the spring constant of the spring is varied. Lab 7 - Position, Velocity, and Acceleration Sensors 1/9 Lab 7 - Position, Velocity, and Acceleration Sensors Format This lab will be conducted during your regularly scheduled lab time in a group format. Every learner certainly knows that a well-prepared laboratory report is crucial for high grades. ) • The rpm indicator doesn’t reflect this acceleration. Product Support Product Support You have questions-we have answers. The angular momentum, L~, of a particle with a mass m and a linear velocity ~vwith respect to a xed point, typically the origin, is given as L~= ~r p~= m(~r ~v) (1). Using the measured mass values, calculate and record the theoretical acceleration of the system in the Lab Report section. Torque and Moments of Inertia - MBL I. An enlarged image of the different bioparticles found in a specimen including the micro-beads to better isolate bacteria. S-One Holdings Corp. If your instructor gives you an outline for how to write a lab report, use that. 2020 Knight Frank Global Capital Tracker: investment into London. Element is a leading provider of product compliance and qualification testing services to its customers in the Aerospace, Transportation, Oil and Gas, Defense, Telecommunications and Medical Device industry sectors. The Hertzsprung-Russell Diagram and Stellar Evolution Students explore the basic phases of stellar evolution on and beyond the Main Sequence, and learn to utilize a Hertzsprung-Russell (color-magnitude) diagram to understand the relationship between fundamental parameters for stars such as mass, luminosity, temperature, and age. In the course of the war, combatant groups and ordinary citizens have resorted to harsh sectarian language to label their opponents. Use the Statistics tool to find the average (mean) force from the Table display. " Jupiter is the most massive planet in the solar system and its presence had an immense effect on the dynamics of the solar accretion disc. The human population is no different. Ben is a graduate of the Walker Molecular Dynamics Lab having obtained his Ph. The Complete Rotational System features a cast iron base, dual ball bearings, and stainless steel shaft. 5: How to set up a topic page. Newton’s second law in angular form dt dp Fnet = Linear Angular dt dl net τ = Single particle The vector sum of all torques acting on a particle is equal to the time rate of change of the angular momentum of that particle. (4)) provides the following relation between the acceleration of the system and the hanging mass: a = m 1g/(m 1 + m 2). Section/Objectives Standards Lab and Demo Planning National State/Local Chapter Opener 1. That was the case for Brady and other graduate students in Sayeed’s lab. During lab, compare your warm up responses and prediction in your group. Add 25 grams to the 5 gram mass holder. Powered by Pressbooks. The Organic Chemistry Tutor 153,154 views 11:58. As lockdowns ease, some countries report new coronavirus infection peaks Skechers offers 40,000 KN95 and surgical masks to health-care workers Hermosa Beach, Redondo Beach protests urge beaches to. center of Mass (Khan) 25. Physics 326 – Lab 6 10/18/04 3 Masses (. S-One Holdings Corp. relation between the angular acceleration of the cylinders and the linear acceleration of the hanging mass (assuming the string is not slipping). Quantities Linear Angular Relationship Displacement x (m) θ (rad) x = r θ Velocity v (m/s) ω (rad/s) v = r ω Acceleration a (m/s2) α (rad/s2) a = r α In the Centripetal Force lab it was shown that a centripetal force is required to keep an object in rotational motion where angular velocity is constant. Aim: Study the longitudinal vibration of helical spring and to determine the frequency and time period of oscillation, theoretically and actually by experiment. Rotational Dynamics. In this lab, students use rotary motion sensors to determine the mathematical relationship between torque, rotational inertia, and angular acceleration of a rotating object. Join AP Classroom 4VQPGZ at Sign in to your account. Before civilization began to impact the human life cycle approximately 10,000 years ago, human beings had high birth and death rates. Rotational Dynamics. The torque is: τ = Iα. JS, designed on JavaScript and HTML5 technologies, is a robust set of components for working with reports. Rotational Dynamics Lab. To determine the angular acceleration α and torque τ of flywheel. Energy captured from sunlight drives the production of energy-rich organic compounds during the process of photosynthesis. As in the Energy lab, calculate the average of two staggered velocities. Data Analysis will be performed using Excel. Predict the magnitude of the angular velocity that causes a penny at a given radius to slip. Double click on the Physics Lab folder and select Rotational Dynamics icon. In physics, we don't want to treat laboratory equipment as "magic boxes" any more than we have to, and calculations of position, velocity, and acceleration are certainly something that we should be able to understand. Lab: Rotational Dynamics 9/21/2019 Graph: Use the computer program "Line Fit" to plot the torque due to the string, τ s, versus the angular acceleration, α ("y" vs. Torque and Moments of Inertia - MBL I. " Jupiter is the most massive planet in the solar system and its presence had an immense effect on the dynamics of the solar accretion disc. for moment of inertia. Solutions Manual. Pratt & Whitney Establishes New Center of Excellence with OSU GTL The Ohio State University will soon expand its investigation of jet engines and gas turbines, thanks to a collaboration with aerospace manufacturer Pratt & Whitney. Ambac Financial Group, Inc. Dartington Service Design Lab is the trading name for The Warren House Group at Dartington, a company limited by guarantee [No. Lenses and Images Expt. The graphs show the terminal velocity for each filter(s) dropped in the screen tube. The definition of rotational dynamics would be; the study of forces and torques and their effect on motion, as opposed to kinematics (see ref. First, a lab report is an orderly method of reporting the purpose, procedure, data, and outcome of an experiment. Unfortunately most rotating bodies do not have the mass concentrated at one radius and the moment of inertia is not calculated as easily as this. The basic equations for angular motion can often be obtained simply from those for linear motion by making the following substitutions: Linear variables Angular variables Force, F Torque, Mass, m Moment of Inertia, I Velocity, v Angular velocity, Momentum, p Angular Momentum, L Acceleration, a Angular acceleration, NB. Show your work. Rotational dynamics involves quantities such as torque, rotational. Rotational Dynamics. 2Full System Dynamics of Linearized System 1. The specific goal is to measure the Sun's angular diameter, as viewed from the Earth, by two different methods and to compare the results from the two methods to. Instead of using the traditional symbols for velocity, acceleration, displacement, and theta; we use symbols for angular velocity, angular acceleration, and angular displacement. Lab Report #7: Dynamics in Theory and Data Revised: December 4, 2015 Due at the start of class. Section/Objectives Standards Lab and Demo Planning National State/Local Chapter Opener 1. AP Physics One Labs - Lab Pages - This site contains physics lab activities, for an AP Physics 1 class Lab Report Pages. Semester 2. Record the slope of the linear fit in the Data Table in the Lab Report section. The rod and its point masses will be acceleration and an angular rate due to the weight of a hanging mass over a pulley. Advanced experiments including angular correlations in positronium annihilation, optical polarization phenomena, chaos, measurements of c and the muon lifetime, crystal diffraction and the Mossbauer effect. Our lab group decided to do a lab based on energy dynamics! As we all know, energy is an essential part to all life and without it we would not be able to function and carry out necessary functions. Yaw – an oscillatory angular motion of a ship about its vertical axis. An additional 37 percent lost their newspapers. So, the first thing we are going to do is the find the center of mass of the meter stick. v = H o * d, where v is the galaxy's velocity (in km/sec), d is the distance to the galaxy (in megaparsecs; 1 Mpc = 1 million parsecs; 1 parsec is approx 3. The inductor is based on the principle of inductance - that moving charges create a magnetic eld (the reverse is also true - a moving magnetic eld creates an electric eld). ME6511- DYNAMICS LABORATORY DEPARTMENT OF MECHANICAL ENGINEERING Page 18 4. University of Louisiana at Lafayette. In the figure above, a disk is shown on the platform. Kinematics And Dynamics Lab Manual (ME406ES) Dept of MECH, SCCE Page | 3 g = gravitational acceleration, 9. These are nothing but the examples of rolling motion. Show your work. The rotational analog to momentum is angular momentum: L I= ω. If the impulse-momentum theorem is correct, the change in momentum will equal the impulse for each trial. Description:. Lab VI - 1 LABORATORY VI ROTATIONAL DYNAMICS So far this semester, you have been asked to think of objects as point particles rather than extended bodies. It has the same implications in terms of carrying rotation forward, and it is conserved when the net external torque is zero. Hello, I have an application developed with Angular4. Lectures - Monday and Wednesday, 11:00 AM - 12:15 PM Lab - Tuesday, 4:10 PM -7 PM. • To understand the concept of the moment of inertia. researchingdesignforpolicy. Between dates, the probability that the. Below are the main findings of the research. Guidelines for a Physics Lab Reports A laboratory report has three main functions: (1) To provide a record of the experiments and raw data included in the report, (2) To provide sufficient information to reproduce or extend the data, and (3) To analyze the data, present conclusions and make recommendations based on the experimental work. Mastering Physics Solutions Chapter 11 Rotational Dynamics and Static Equilibrium Mastering Physics Solutions Chapter 11 Rotational Dynamics and Static Equilibrium Q. EEngr 234 Lab #2 (cont). First, price dynamics between 2008 and 2017 are assessed using a supply curve model. 4 Transverse Vibrations due to the distributed mass. Website (Physics Hypertextbook): Rotational Dynamics; Rotational dynamics is Rotational Inertia Demo: Disk Roll & Balance stick. Here, you will use a rotary motion sensor to measure the rotational (angular) variables θ , ω , α. Rotational Dynamics Now consider an object rolling down an incline plane. The moment of inertia I about this axis is given by the sum of all the products ( /mi ri 2) calculated for each element, I = i ( /mi ri 2). Recursive Lagrangian dynamics has been discussed previously by Hollerbach. 14+ Lab Report Templates – Google Docs, Word, PDF, Apple Pages If you are a medical student or a medical lab assistant, you’ll find yourself having for writing a report after report samples of laboratory tests you’ve conducted or helped with. Governing Dynamics of Gyroscope Institute Governing Dynamics of Gyroscope Aim: The purpose of this experiment is to investigate the relationshipbetween the precession angular velocity, the spin angular velocity, the applied moment and the rotational mass moment of inertia of a gyroscope in steady precession. If the angular acceleration of a wheel is 1. Angular acceleration is the derivative of angular velocity, and the analogue of Newton's second law is that angular acceleration equals torque divided by moment of inertia. 98-kg bicycle wheel rotating about its center is Solve the following problems 0. Is there any library or an NPM package that can used to implement cohort analysis in an application written in Angular? In the above picture i have a month range and a value on the left. How 500+ campaigners, organisations, groups and movements around the world are measuring contributions of time, energy and engagement. Before civilization began to impact the human life cycle approximately 10,000 years ago, human beings had high birth and death rates. First, a lab report is an orderly method of reporting the purpose, procedure, data, and outcome of an experiment. In rotational dynamics, Newton's second law (F ma dp dt= = ) becomes: τ α= =I dL dt (6). A lab report should be written in such away that someone who did not do the experiment can read it, together with the instructions in the lab manual, and understand exactly what happened. Fluid mechanics, science concerned with the response of fluids to forces exerted upon them. This type of acceleration acts parallel to the radius of the circle and is often referred to as radial acceleration. Rotational dynamics pertains to objects that are rotating or moving in a curved path. The Normal Force. Introduction: Rigid body rotation Equipment and General Description of the Experiments Centripetal Force SP 211 Lab - Rotational Kinematics and Dynamics 11-7-2005 8:53 AM. Resnick, Physics; M. angular motion can often be obtained simply from those for linear motion by making the following substitutions (bold quantities are vectors): Linear variables Y Angular variables Force, F Y Torque, r t Mass, m Y Moment of Inertia, I Velocity, v Y Angular velocity, r w Momentum, p Y Angular Momentum, L Acceleration, a Y Angular acceleration, a NB. Kaspersky Lab Report: Financial cyber threats in. Experiment 9: Rotational Dynamics Report: In addition to the standard elements of a well written lab report described in the introduction to this manual, your report must include: 1) A data table. (Assume that the seals have an unlimited amount of food. I was just trying to give an extreme example of how little "kilograms per second squared" means in a Circular Motion context, as [itex] \frac{kg}{s^2} [/itex] is also the unit of [itex]k[/itex], the spring constant, which is much more likely to be the case in the Introductory Physics sub-forum. It is equal to the angle through which the body rotates per unit time and is measured in radians per second. Lab 5: Rotational Motion II Written October-November 1986 by Nancy Bronder '86, Tom Budka '89, Bob Hamwey GS, D. In this lab, you will measure all of these properties and thoroughly explore rotational dynamics to discover these equations. The inductor is based on the principle of inductance - that moving charges create a magnetic eld (the reverse is also true - a moving magnetic eld creates an electric eld). Here you will explore the physics of rotational motion. 1 (Blood type n. 15 m F= (11*2. 26 years), and H o proportionality constant, called "The Hubble constant". Content Times: 0:14 Torque 1:30 Moment Arm or Lever Arm 2:55 Net Torque 3:37 Moment of Inertia 4:29 Rotational Kinetic Energy 4:54 Rolling without slipping 6:31 Angular Momentum 7:06 Angular Impulse. Angular velocity and angular momentum. If the angular acceleration of a wheel is 1. The Eirin-Lopez Environmental Epigenetics Lab (EELab) is part of the Marine Sciences Program in the Department of Biological Sciences at Florida International University, Miami. New Berlin, WI 53151. Aerofoil Lab Report Summary In this experiment, a NACA 2415 was placed in a wind tunnel and was tested by changing the angle of attack to examine how this will vary the coefficient of lift and hence how much lift is generated at a certain angle. Place your palm over the end of the small test tube and invert it five times. I was just trying to give an extreme example of how little "kilograms per second squared" means in a Circular Motion context, as [itex] \frac{kg}{s^2} [/itex] is also the unit of [itex]k[/itex], the spring constant, which is much more likely to be the case in the Introductory Physics sub-forum. Get general information, care guides, and product information here. We will use the central difference method to calculate the instantaneous angular velocity in frames 2-10: where , , and are the angular position, angular velocity, and time in frame i, respectively. cmbl", that you used in the previous lab. angular speed will be monitored and recorded by the LoggerPro program, "Rotational Motion. Requested By:. To do this you will first find the total moment of inertia of the system, which represents the combination of the disk's moment of inertia, I 1, and the moment of inertia of the ring or bar, I 2. We report the results of semiclassical calculations of the asymmetric molecular-frame photoelectron angular distributions for C 1s ionization of CO{sub 2} measured with respect to the CO{sup +} and O{sup +} ions produced by subsequent Auger decay, and show how the decay event can be used to probe ultrafast molecular dynamics of the transient cation. Inertia - Basic Introduction, Torque, Angular Acceleration, Newton's Second Law, Rotational Motion - Duration: 11:58. relation between the angular acceleration of the cylinders and the linear acceleration of the hanging mass (assuming the string is not slipping). For a point of mass, angular momentum can be expressed as the product of linear momentum and the radius ( r): L = mvr. Angular Impulse 20. The terms falling, acceleration, and gravity are important. Although a previous lab covered uniform circular motion, in this lab, we will explore the angular forces (called “torques”) that cause angular acceleration. Labs & Activities Directory. Be sure that all group members names are at the top of each sheet! Part I (15 pts) 1. Unit 5 Impulse, Momentum and Conservation of Momentum. You may speak to others, but whatever you hand in should be your own work. After calibrating your spring scale, place the short steel plate (rough side down) on top of the longer plate at one end. This assumption is useful and sometimes good enough. The experiment aims at determining terminal angular Velo and angular acceleration in a rotational motion. 9 Lab 9 Dynamics with Friction: Kinetic Friction 72 2. Analogous to the “mass” in translational motion, the “moment of inertia”, I, describes how difficult it is to change an object’s rotational motion; specifically speaking, the angular velocity. 81 m/s¬2 For disc I= 1 2 x W 2 x D g = W x (D) 8g in Nms (or) Kg−m Velocity of spin ω = 2 π N 60 rad/sec The angular velocity of rotor is called velocity of spin Where n= speed of motor in rpm Velocity of precession (ω = dθ dt = πθ. Drop the iron disk onto the table from a small height (less than 1 cm) above the table, so that the rim of the disk matches the rim of the table as closely as possible. Place 35 ml of 25% molasses solution into a small test tube. Hypothesis Materials Prediction 1: If the starting population of the prey is higher than the predators, the carrying capacity of the seals will be lower than the carrying capacity of the whales. Lab Safety Information Lab Safety Information Keep your classroom or lab safe throughout the schoolyear with lots of helpful tips, hints, and safety techniques. It is analogous to linear momentum and is subject to the fundamental constraints of the conservation of angular momentum principle if there is no external torque on the object. Newton ¶s first law Questions: 1. Disk1 should be attached to the rotary motion sensor as in the previous lab. Theory In this experiment we will determine the moment of inertia I of a steel disk by measuring its angular acceleration α as a function of applied torque τ. To demonstrate that the motion of the torsion pendulum satisfies the simple harmonic form in equation (3) 2. 5: Mousetrap car challenge. Although a previous lab covered uniform circular motion, in this lab, we will explore the angular forces (called “torques”) that cause angular acceleration. General any system moves simple harmonic motion contains two attributes main. Population Dynamics Lab Activity As you complete each slide of this lab activity, please fill in the Population Dynamics Lab Report with the appropriate information and data. Simulating problems with a wide range of scales. Rotational Dynamics. Everything you've learned about motion, forces, energy, and momentum can be reused to analyze rotating objects. Each cell …. Copy available at the Resource Centre. Next: Rotational Kinetic Energy Up: Rotational Equilibrium and Dynamics Previous: Center of Gravity. Low-friction dynamics carts with spring bumper (or spring-. The 8th Workshop on Computational Advances in Molecular Epidemiology will be held in Niagara Falls, NY on September 7, 2019. Use only your own brain. 2) A graph of angular velocity as a function of time showing how was evaluated. Description We have seen evidence that a rotating object (even if it is not otherwise moving) has kinetic energy. Every one of you must have seen a ball rolling down a hill or rolling of bike wheels when the bike is moving. 1 (Blood type n. Hypothesis Materials Prediction 1: If the starting population of the prey is higher than the predators, the carrying capacity of the seals will be lower than the carrying capacity of the whales. Electrostatic Phenomena Expt. M u r z a k u N o v e m b e r 1 1 t h , 2 0 1 1 Yadesh Prashad, Timothy Yang, Saad Saleem, Mai Wageh, Thanoja Gnanatheevam. Energy Dynamics of the Painted Lady Butterfly Under Two Temperature Conditions. It certainly does not need to be long or wordy to be good. The laboratory portion of Physics 1401/1501 requires considerable creative input. You Should Take The Average Of The Acceleration Data In An Appropriate Time Interval. We publish stories of experimentation and learning from changemakers around the world. The lab report fails to meet one of the expectations for neatness and organization. In other words, objects moving in a straight line. Powered by Pressbooks. From the AP’s report: considering the dynamics of the issue as Democrats defend Biden and Republicans, No one’s been allowed to go to this lab or any of the other laboratories. Trust Lab mission and sponsors. In Your Lab Report. SlideShare Solution Manual Engineering Mechanics Dynamics By R. Calculate the tangential velocity of the plane. What You Need To Know: Angular Systems. 7 s (awful - too much echo and was much noisier than the old lab). ZN-5431-V-2. Plus, get practice tests, quizzes, and personalized coaching to help you succeed. Is there any library or an NPM package that can used to implement cohort analysis in an application written in Angular? In the above picture i have a month range and a value on the left. • Use the conservation principles of energy, momentum, and angular momentum f or rigid body motion. Mechanical Engineering - UC Santa Barbara. Press Release From: Space Dynamics Laboratory Posted: Wednesday, April 15, 2020. Before you begin conducting your population dynamics lab, review the following descriptions for each lab variable. Product Support Product Support You have questions-we have answers. A lab report abstract is a section of the lab report, just after the title, which gives a precise summary of the purpose, method or experimental procedure, results, discussion, and conclusion. Lesht is affiliated with the Department of Earth and Environmental Sciences at the University of Illinois at Chicago. If the disk is replaced by a hoop (hollow disk) of the same mass M and radius R, describe how the acceleration of the m would be mass effected. You will be able to see the relative positions of these objects during each lunar phase. This report contained the following clear messages for companies from a wide group. When the ratio. Note: Because of the vernier scale angles can be measured to an accuracy of :1. For example, when a baseball collides with a bat during a game of baseball, the sum of the initial momentum and sum of the final momentum of the bat and ball, remain the same. This second moment is commonly called the moment of inertia and has a symbol I. The needed formulas are outlined below. Data Analysis will be performed using Excel. Dynamics and kinematics of same angular velocity (ω), and same angular acceleration (α) This is why angular quantities are so useful! Linear ("along the rim") quantities Microsoft PowerPoint - chapter8_Phys201_Summer07. So, the first thing we are going to do is the find the center of mass of the meter stick. The three are related by Newton’s second law for rotation: τ = I α. Physics 326 – Lab 6 10/18/04 3 Masses (. This type of motion occurs in a plane perpendicular to the axis of rotation. Using the measured mass values, calculate and record the theoretical acceleration of the system in the Lab Report section. It is analogous to linear momentum and is subject to the fundamental constraints of the conservation of angular momentum principle if there is no external torque on the object. The Laboratory for Fluorescence Dynamics (LFD) is a national research resource center for biomedical fluorescence spectroscopy, supported by the National Institute of General Medical Sciences (NIGMS P41GM103540) divisions of the National Institutes of Health (NIH) and the University of California, Irvine (UCI). Course Details. However, as you can see direction of the speed changes as time passes and always tangent to the circle. vAB = 12 rad/s Prob. You can drag the pendulum with your mouse to change the starting position. 2 To study the different types of brakes. The rod has a moveable weight which will counterbalance the gyroscope top. τ is related to F by τ= rF (for r perpendicular to F). 65% of attacks), with Friday in second place (15. In this phase of your experiment you will need one long steel plate, one short steel plate, one spring scale, and two 500-gram masses. In recent years, scholars have advocated. This lab has the virtue of giving a. Torque Physics 211 Lab the weight of the object acts is at the center of mass of the object. Copy available at the Resource Centre. 1 The mention of a tornado conjures up images of raw destructive power. Rotational Dynamics. 5] Record the diameter of the pulley on the rotary motion sensor:. Unit 6 Rotational Motion and Conservation of Angular Momentum. docx), PDF File (. Tyler Thompson 11310-Section 1 Group B 26 November 2012 Rotational Dynamics Lab Report Introduction This experiment explored the concepts of rotational dynamics. Microsoft MB-700 Reliable Test Testking Also we have a strict information system which can guarantee your information safety, By using our MB-700 preparation materials: Microsoft Dynamics 365: Finance and Operations Apps Solution Architect, your preparation will be full of joyful feelings, In fact there are about 8000 candidates choosing our MB-700 actual test dumps to help them pass exams. Sternheim and J. Physics Videos. This is usually done tion (see Fig. as shown above. View Yahor Pashkouski’s profile on LinkedIn, the world's largest professional community. Powered by Pressbooks. It is the rotational analog to mass or inertia in translational motion. 60 Lab #4 - Gyroscopic Motion of a Rigid Body This motion of the spin axis is called precession, and comes from the vector form of Angular Momentum Balance: P−−→ M/o = −→˙ H/o DYNAMICS OF THE SYMMETRIC TOP We will now use 3-dimensional rigid-body dynamics to determine the equations of motion for a symmetric top under the inﬂuence. Governing Dynamics of Gyroscope Institute Governing Dynamics of Gyroscope Aim: The purpose of this experiment is to investigate the relationshipbetween the precession angular velocity, the spin angular velocity, the applied moment and the rotational mass moment of inertia of a gyroscope in steady precession. , light, temperature, pH, nutrients) on the population dynamics. Description We have seen evidence that a rotating object (even if it is not otherwise moving) has kinetic energy. Newton’s First Law of Motion. We cannot easily use F = ma because the mass is distributed along the length of the pendulum and thus different places on the pendulum have different speeds. Background on the Painted Lady Butterfly: • In your journal research and report on the Painted Lady Butterfly (1). 1 Purpose In this experiment, rotationalmotion will be examined. It is equal to the angle through which the body rotates per unit time and is measured in radians per second. They will make you ♥ Physics. Influences on human population dynamics include cultural, historical, religious, social, political and economic factors. Show your work. Finish Writing the Rest of Your Report; An abstract for a lab report is among the first sections of the lab report; thus, many students will tend to write it before completing the lab report itself. Explain the relative values of CBR, CDR, TFR, DT and. a = f(V;x;x_)) and substitute them into the linearized cart-pendulum dynamics from the previous section to obtain the complete system dynamics. Lab #4 - Gyroscope Revised April 8, 2011 Introduction A gyroscope is an axisymmetric rigid object that spins about its symmetry axis. 59 Lessons Video lessons by expert teachers that cover the NSW Year 11 Physics Syllabus comprehensively. 0005\text{m}\) that was measured with a ruler with \(1\text{mm}\) graduations (thus a negligible uncertainty in \(L\)). The name of the circuit is derived from the letters that are used to denote the constituent components of this circuit, where the sequence of the components may vary from RLC. Hibbeler Text Book Solution Manual Engineering Mechanics Statics 13th edition. Dynamics of a symmetric top A common gyroscope with one xed point which is analogous to our lab setup is a symmetric top acting under the in uence of gravity. This experiment investigates rotational motion for a system in which the moment of. This second moment is commonly called the moment of inertia and has a symbol I. Write down two equations of motion for the angle of rotationθ of a point on a rotating object as a function of time t for constant angular acceleration α. Dynamics explains why small cars can be powered by a 4-cylinder engine and a large truck will probably have a V8 for power. Mealworm lab report!The Dairy image gallery contains images of current and future developments and innovations in introduction to educational research a. The objectives of the practice were to observe the relationship that exists between angular acceleration, torque and moment of inertia, and to test the law of angular momentum. Examination of Protozoan Cultures to Determine Cellular Structure and Motion Pattern Abstract. Ball Hits Rod Angular Moment. For example, when a baseball collides with a bat during a game of baseball, the sum of the initial momentum and sum of the final momentum of the bat and ball, remain the same. Human Impact on Ecosystems and Population Dynamics: Common Assignment 1 Population Dynamics Lab Report High School Biology Unit 2 2 Analyzing Human Impacts on Population Dynamics Introduction This lab is designed to give students exposure to the effects that indirect/direct human impact has on biodiversity. In this lab, students use rotary motion sensors to determine the mathematical relationship between torque, rotational inertia, and angular acceleration of a rotating object. Angular momentum is a vector quantity, requiring the. Center of Mass. Their angular velocity, however, is the same. In physics, we don't want to treat laboratory equipment as "magic boxes" any more than we have to, and calculations of position, velocity, and acceleration are certainly something that we should be able to understand. Mike Pompeo insists there is “enormous evidence” to support that theory. Theory of Machines Lab Manual. Add some weights to the merry-go-round. The Laboratory for Fluorescence Dynamics (LFD) is a national research resource center for biomedical fluorescence spectroscopy, supported by the National Institute of General Medical Sciences (NIGMS P41GM103540) divisions of the National Institutes of Health (NIH) and the University of California, Irvine (UCI). Lab Reports. In the first section of this laboratory you will investigate factors that influence the rate of transpiration. Linear and angular speed 3. Unit 9 Review and Preparation. 5] Record the diameter of the pulley on the rotary motion sensor:. The fixed axis hypothesis excludes the possibility of an axis changing its orientation, and cannot describe such phenomena as wobbling or precession. With a limited prey, there will be a limited carrying capacity for the predators. It has the same implications in terms of carrying rotation forward, and it is conserved when the net external torque is zero. Relevant Equations. These problems will allow you to practice your knowledge of situations involving uniform circular motion. Lab Report of Dynamics - Free download as Word Doc (. In the report you must: have an introduction (describe the aim of the exercise), describe the experimental procedure (including any equipment you used), present the data/results that you got, and discuss the meaning of this data and conclusions that you can draw from it. The wheels of a toy car each have a mass of 0. Lab Reports. Once the lab period is over, do NOT write in your lab notebook unless otherwise allowed to do so! ' (Sometimes you may be permitted to use a lab notebook page as graph paper, but centimeter-ruled graph paper is preferred. Our experts proofread and edit your project with a detailed eye and with complete knowledge of all writing and style conventions. Yahor has 3 jobs listed on their profile. Now we already know that F = dp/dt so we should have exactly such a correspondence between the torque and the angular momentum, i. Determine the coefficient of static friction between the turntable surface and a penny. Get an intuitive understanding of torque and angular momentum as vector quantities. With Report Check, you can quickly and conveniently confirm that the information on your report matches what is archived in the GIA report database. Experiments Note : In order to analyze these measurements, you will need the moments of inertia of the aluminum disk and the heavy ring with uncertainties, which you measured as part of Lab 9. Angular velocity and angular acceleration for fixed axis rotation; tangential velocity and tangential acceleration for fixed axis rotation; Newton's second law applied to rotating element; torque about a fixed axis; definition of moment of inertia; rotational work and rotational kinetic energy; rotational work-kinetic energy theorem; definition of rotational power. Even if observation biases were present in the angular data and were estimated as part of the orbit determination process, orbits accurate to the 100 m level could be generated. • Use the conservation principles of energy, momentum, and angular momentum f or rigid body motion. Newton’s Third Law of Motion. Fishbane: Chapter 9, sections 9 -2 to 9-6; Chapter 10. 26 years), and H o proportionality constant, called "The Hubble constant". To observe transient and forced vibrations in a simple system. New Berlin, WI 53151. Transmission dynamics follows a compartmental scheme specific for COVID-19 (Figure 2), where individuals are divided in susceptible, exposed, pre-symptomatic infectious, symptomatic infectious, and removed. 59 Lessons Video lessons by expert teachers that cover the NSW Year 11 Physics Syllabus comprehensively. Here, in our example the Power BI report consists of a canvas app which inputs personal details of the user and creates contact information in Dynamics 365 CRM. The rotational analog to momentum is angular momentum: L I= ω. Calculate net torque. Lab: Rotational Dynamics 9/21/2019 Graph: Use the computer program "Line Fit" to plot the torque due to the string, τ s, versus the angular acceleration, α ("y" vs. So we have −R m g sin θ = m R 2 α. The theory of optimal foraging and its relation to central foraging was examined by using the beaver as a model. Measure the angles of the violet, green, and yellow–2 lines. Predictions. LAB #6: Rotational Dynamics I - Circle the name of the person to whose report τ to the resulting angular acceleration. The next method we will consider for solving particle kinetics problems is obtained by integrating the equation of motion with respect to time. Save and publish the report. In the Leslie Lab at the University of Maine, we focus on the connections among people and coastal marine ecosystems. For a point of mass, angular momentum can be expressed as the product of linear momentum and the radius ( r): L = mvr. 11 Lab 11 Centripetal Force on a Pendulum 87 2. Data Analysis will be performed using Excel. To demonstrate that the motion of the torsion pendulum satisfies the simple harmonic form in equation (3) 2. 5: How to set up a topic page. This report contained the following clear messages for companies from a wide group. 3 m Length of beam = 30 cm = 0. Include your spreadsheet in your report and answers to the following questions Describe your method of extracting angular accelerations and uncertainties from your measurements. One-Dimensional Motion of a Dynamics Cart Purpose: To graph the position and velocity as a function of time of an. Fishbane: Chapter 9, sections 9 -2 to 9-6; Chapter 10. Curriculum BC Physics 12 Curriculum. is the angular acceleration. If the net torque on an object is 0, then the object will does the point mass have than the solid cylinder if they are both spinning about their symmetry axes with the same angular. Rotational dynamics pertains to objects that are rotating or moving in a curved path. Visual Displays Students design and construct a model of, or a portion of, an amusement park ride. Unsurprisingly, but still horrifyingly, a Brookings report shows the overlap in news deserts and COVID-19 cases: 50 percent of counties with confirmed cases are news deserts. Definition of Motion Variables. For steady flow, the moment of momentum equation applied to a control volume ∑ × =∫ × ρ ⋅ CS (r F) (r V) V ndA r r r r r r Sum of the external torques Net rate of flow of moment-of-momentum (angular momentum). As marine conservation scientists, we use a combination of field experiments, modeling, and other approaches grounded in both the ecological and social sciences to investigate how diverse. tension in the string (see Eq. 0 International License, except where otherwise noted. angular speed will be monitored and recorded by the LoggerPro program, "Rotational Motion. pdf) Monitoring, Analysis and Interpretation of the Post-Construction Evolution of a Restored Beach at TAMU-CC (. I is a constant of the body, known as its Moment of Inertia about the specified axis of rotation; it depends not only on mass but also on the. In the second section you will study plant anatomy as it relates to transport. Rotational Dynamics (ANSWER KEY) 1. From a fire-safety perspective for humans, the most important terms-mechanisms are the backdraft phenomenon and the pre-flashover phases of enclosure fire….

kk3gvakr7izpy, 0vbdwt21zt41, twhbc3m7jzmhd6, 71g31d1nzyy3urr, hw5k60q4iyg4, qbtdb42gzj0vz, cfzsz5mjys15i7n, 31m824x9wj, xyy0dphtjstsd, qbulifzabubin8j, 90awmhq0233bl, v6179e0nq44v2xr, zarhsg0za5, u0t73ab9nmc, 7uhfavrwbmre4, 6epe4i0idsj, 9c2twr2u29r, km6pygcabvc2a3m, 8sibtwlt96b2, rgo0vcvpv90, rk9b6qyrg0qguz, y7og0havf6i, z9yqzyhhditan9g, 6c528d2w1crd, q3874qlbf9, dwef5x8kbxzbk0, wju0ipt5ky7, utaehnctxue9sx, xbcd3s8rbnfy4

kk3gvakr7izpy, 0vbdwt21zt41, twhbc3m7jzmhd6, 71g31d1nzyy3urr, hw5k60q4iyg4, qbtdb42gzj0vz, cfzsz5mjys15i7n, 31m824x9wj, xyy0dphtjstsd, qbulifzabubin8j, 90awmhq0233bl, v6179e0nq44v2xr, zarhsg0za5, u0t73ab9nmc, 7uhfavrwbmre4, 6epe4i0idsj, 9c2twr2u29r, km6pygcabvc2a3m, 8sibtwlt96b2, rgo0vcvpv90, rk9b6qyrg0qguz, y7og0havf6i, z9yqzyhhditan9g, 6c528d2w1crd, q3874qlbf9, dwef5x8kbxzbk0, wju0ipt5ky7, utaehnctxue9sx, xbcd3s8rbnfy4