Question
A rod of mass M and length L is hinged at point O. A small bullet of mass m hits the rod with velocity u as shown in figure. The bullet gets embedded in the rod. Find the angular velocity of system after impact.
Solution
Before the collision, the rod is at rest and bullet is moving with velocity u at a distance 0.8L.
Therefore angular momentum of system before impact is,
Bullet after hitting gets embedded into the rod.
Let
be the angular velocity of the system after impact.
The angular momentum of system after impact is,
Using the law of conservation of momentum
This is the angular velocity of the system after the impact.
Therefore angular momentum of system before impact is,
Bullet after hitting gets embedded into the rod.
Let
be the angular velocity of the system after impact. The angular momentum of system after impact is,
Using the law of conservation of momentum
This is the angular velocity of the system after the impact.
