Question 8: A uniform round object of mass M and radius R is placed on a flat surface with initial angular velocity wo as shown in Figure 6. The moment of inertia of the object about the center of mass is I = yM R² where y is a positive constant. The object has angular velocity w when it starts rolling without slipping. Find a) w, and b) if angular speed is w = wo, calculate y and guess the shape of the round object. (Hint: You can solve the problem by considering the non-slipping condition, Vem = wR, or by considering the conservation of the angular momentum.) M, R, I M, R, I Wo

Question 8: A uniform round object of mass M and radius R is placed on a flat surface with initial angular velocity wo as shown in Figure 6. The moment of inertia of the object about the center of mass is I = yM R² where y is a positive constant. The object has angular velocity w when it starts rolling without slipping. Find a) w, and b) if angular speed is w = wo, calculate y and guess the shape of the round object. (Hint: You can solve the problem by considering the non-slipping condition, Vem = wR, or by considering the conservation of the angular momentum.) M, R, I M, R, I Wo

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 60PQ

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