(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.
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter12: Rotation I: Kinematics And Dynamics
Section: Chapter Questions
Problem 35PQ: In testing an automobile tire for proper alignment, a technicianmarks a spot on the tire 0.200 m...
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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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