A DVD of mass M = 20.0 g = 0.0200 kg and radius R = 6.00...
A DVD of mass M = 20.0 g = 0.0200 kg and radius R = 6.00 cm = 0.0600 m is rotating freely around a fixed vertical axis without any friction. Its initial angular velocity is ?1= 102 rad/s.
A bug of mass m = 6.00 g = 0.00600 kgdrops onto the center of the rotating DVD. The bug then walks radially outward toward the edge of the DVD without slipping until it reaches a distance r from the center, and the angular velocity of the DVD has slowed to ?3 = 72.0 rad/s.
Answer the following questions, treating the DVD as a disk of uniform mass density without any hole in its center, and the bug as a point mass.
1. What is the moment of inertia of the DVD around its rotation axis?
2. What is ?2, the angular velocity of the DVD immediately after the bug has dropped onto its center?
3. What is the final moment of inertia of the DVD+bug system when it is rotating at ?3 = 72.0 rad/s?
4. What is r, the final distance of the bug from the center of the DVD?
Homework Answers
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