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(a) Compute the moment of inertia I about the center. (PLEASE SEE FIGURE 10. 21 IN THE E-BOOK OR THE TEST 3 CHEAT SHEET for the rotational inertia of a DISK ABOUT THE CENTER.) (b) What is the net torque r about the center? (PLEASE SEE THE TEST 3 CHEAT SHEET.) (c) What is the cylinder's angular acceleration a? (PLEASE SEE THE TEST 3 CHEAT SHEET. SOLVE FOR a.) (d) Assume the cylinder (DISK) starts its rotation from rest when subjected to the force shown. What is the cylinder's angular velocity o after a time period of 30.0 seconds? (e) What is the magnitude L of the angular momentum of the disk after a time period of 30.0 seconds? HINT: SEE EQUATION 11.1. L = I*o. (f) Show that the time derivative of the GENERAL EXPRESSION of the angular momentum I*o equals the torque.

(a) Compute the moment of inertia I about the center. (PLEASE SEE FIGURE 10. 21 IN THE E-BOOK OR THE TEST 3 CHEAT SHEET for the rotational inertia of a DISK ABOUT THE CENTER.) (b) What is the net torque r about the center? (PLEASE SEE THE TEST 3 CHEAT SHEET.) (c) What is the cylinder's angular acceleration a? (PLEASE SEE THE TEST 3 CHEAT SHEET. SOLVE FOR a.) (d) Assume the cylinder (DISK) starts its rotation from rest when subjected to the force shown. What is the cylinder's angular velocity o after a time period of 30.0 seconds? (e) What is the magnitude L of the angular momentum of the disk after a time period of 30.0 seconds? HINT: SEE EQUATION 11.1. L = I*o. (f) Show that the time derivative of the GENERAL EXPRESSION of the angular momentum I*o equals the torque.

College Physics
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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A solid, uniform cylinder (aka disk) of mass M = 3603 kg and radius R = 4.1 m can rotate about a FIXED axis at the center. The cylinder (disk) is subjected to a steady force applied at the right edge of the diameter shown. As you can see, the force is tangent to the cylinder rim. (a) Compute the moment of inertia I about the center. (PLEASE SEE FIGURE 10. 21 IN THE E-BOOK OR THE TEST 3 CHEAT SHEET for the rotational inertia of a DISK ABOUT THE CENTER.) (b) What is the net torque τ about the center? (PLEASE SEE THE TEST 3 CHEAT SHEET.) (c) What is the cylinder's angular acceleration a? (PLEASE SEE THE TEST 3 CHEAT SHEET. SOLVE FOR a.) (d) Assume the cylinder (DISK) starts its rotation from rest when subjected to the force shown. What is the cylinder's angular velocity o after a time period of 30.0 seconds? (e) What is the magnitude L of the angular momentum of the disk after a time period of 30.0 seconds? HINT: SEE EQUATION 11.1. L=I*o. (f) Show that the time derivative of the GENERAL EXPRESSION of the angular momentum I*o equals the torque. 4.0 m ņ 25.0 N = F
Transcribed Image Text:A solid, uniform cylinder (aka disk) of mass M = 3603 kg and radius R = 4.1 m can rotate about a FIXED axis at the center. The cylinder (disk) is subjected to a steady force applied at the right edge of the diameter shown. As you can see, the force is tangent to the cylinder rim. (a) Compute the moment of inertia I about the center. (PLEASE SEE FIGURE 10. 21 IN THE E-BOOK OR THE TEST 3 CHEAT SHEET for the rotational inertia of a DISK ABOUT THE CENTER.) (b) What is the net torque τ about the center? (PLEASE SEE THE TEST 3 CHEAT SHEET.) (c) What is the cylinder's angular acceleration a? (PLEASE SEE THE TEST 3 CHEAT SHEET. SOLVE FOR a.) (d) Assume the cylinder (DISK) starts its rotation from rest when subjected to the force shown. What is the cylinder's angular velocity o after a time period of 30.0 seconds? (e) What is the magnitude L of the angular momentum of the disk after a time period of 30.0 seconds? HINT: SEE EQUATION 11.1. L=I*o. (f) Show that the time derivative of the GENERAL EXPRESSION of the angular momentum I*o equals the torque. 4.0 m ņ 25.0 N = F
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