Activity 2.12- Circular Motion Dynamics LabLab 1 - Horizontal Circle - Uniform (constant speed) Circular MotionAssume that a stopper is being twirled around in a horizontal circle at constant speed vas shown below. The mass ofthe stopper is m and the hanging mass is M. The length of the string between the stopper and the tube is L.side viewFBD for stopper mFBD for MmstopperLhanging massMglass tube+yLate+xPREDICTION: Use your knowledge of dynamics and circular motion kinematics to predict the speed.a. Draw the free body diagram for the stopper and for the hanging mass. To the right of the "=" draw an arrowlabeled "ma" or "Ma" in the direction of the acceleration or write zero if the acceleration is zero.11b. Write Newton's 2nd law in the x direction for the stopper. Recall what you know about the acceleration foruniform circular motion and be careful with "r" - it is not equal to "L".(stopper) x:Write Newton's 2nd law in the y direction for the hanging mass(hanging mass) y:d. Determine the speed in terms of m, M, L, g and 8: For the experiment, we pass the string through a glass tube. The hanging mass is tied to one end of the string and thenthe stopper is tied to the other with the glass tube in between (see diagram on previous page).While holding the glass tube, we twirl the stopper around in a horizontal circle above your head fast enough so the angleⒸ is very small. We adjust the speed of the stopper and length of the string so that the hanging mass is suspended at acommon height. We use a stopwatch to measure the time for 5 complete periods and then measure the length of thestring between the stopper and glass tube. This is repeated for three trials.Use the average period and radius to find the experimental speed for each trial.2πLVexper = TUse your result from part e in your analysis on the previous page for the predicted speed.Include units wherever appropriate.Time for 5revolutions2.8 secTrial1233.4 sec2.5 secAverageperiod (T)"pred =Length0.95 m1.10 m0.70 mMgLmSpeedSpeed(experiment) (predicted)% discrepancyShow a sample calculation for the experimental speed, predicted speed, and the % discrepancy.3What are valid reasons why the predicted value and the experimental value might not agree, i.e., what assumptionsused in our prediction might not be true?

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a. Draw the free body diagram for the stopper and for the hanging mass. To the right of the "=" draw an arrow labeled "ma" or "Ma" in the direction of the acceleration or write zero if the acceleration is zero. b. Write Newton's 2nd law in the x direction for the stopper. Recall what you know about the acceleration for uniform circular motion and be careful with "r" - it is not equal to "L". (stopper) x: Write Newton's 2nd law in the y direction for the hanging mass (hanging mass) y: d. Determine the speed v in terms of m, M, L, g and 8:

a. Draw the free body diagram for the stopper and for the hanging mass. To the right of the "=" draw an arrow labeled "ma" or "Ma" in the direction of the acceleration or write zero if the acceleration is zero. b. Write Newton's 2nd law in the x direction for the stopper. Recall what you know about the acceleration for uniform circular motion and be careful with "r" - it is not equal to "L". (stopper) x: Write Newton's 2nd law in the y direction for the hanging mass (hanging mass) y: d. Determine the speed v in terms of m, M, L, g and 8:

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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