Answered: 15 mm W Jerry

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter12: Coupled Oscillations

Section: Chapter Questions

Problem 12.25P

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Question

Answer the following questions given the picture. Please show clear solutions, I want to learn how to solve the problem.

1a. Which of the following is the angular acceleration of the ball?

A) 116.8 rad/s2 clockwise
B) 2.08 rad/s2 counterclockwise
C) 25.03 rad/s2 counterclockwise
D) 50.1 rad/s2 counterclockwise

1b. Which of the following describes the motion of the ball?
(explain your answer)
A) Rolling with sliding
B) Not moving
C) Rolling without sliding
D) Rolling and impending to slide

A mouse with mass 30g steps on a ball with mass 70g and
diameter 60 mm. The ball from rest starts to move to the
right. Assume that the weight of the mouse is a
load applied at point J.
concentrated
Hs = 0.25
HK = 0.20
Iball = 2 (mr²) / 5
15 mm
W Jerry

Definition Definition Rate of change of angular velocity. Angular acceleration indicates how fast the angular velocity changes over time. It is a vector quantity and has both magnitude and direction. Magnitude is represented by the length of the vector and direction is represented by the right-hand thumb rule. An angular acceleration vector will be always perpendicular to the plane of rotation. Angular acceleration is generally denoted by the Greek letter α and its SI unit is rad/s 2 .

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