Physics - Rotation Question with Solution | TestHub
A uniform rod of mass and length is pivoted at one end. A bullet of mass moving with velocity strikes the rod perpendicularly at a distance from the pivot and gets embedded. Match the following quantities.
List - I | List - II |
|---|---|
(P) Angular momentum of the bullet about the pivot just before collision | (1) |
(Q) Moment of inertia of the rod-bullet system about the pivot just after collision | (2) |
(R) Angular velocity of the rod-bullet system just after collision | (3) |
(S) Loss of kinetic energy during collision | (4) |
(5) | |
(6) |
Options:
Answer:
Solution:
The angular momentum of the bullet about the pivot just before collision is (P-1). The moment of inertia of the rod about the pivot is , and for the bullet (as a point mass) it is . So, the total moment of inertia of the rod-bullet system is (Q-2). By conservation of angular momentum, , so (R-3). The loss of kinetic energy is , which matches option (S-4).
