A rod is pI ted at po ting an angular speed W. The moment 8f rod about its axi rotation is - M,d². The rod strikes the ball which is initially at rest. After collision, the rod stopped and the ball moves to right. 4E M1 | M2 Before Collision After Collision Derive an expression for the angular momentum of the rod about point P before the collision. Derive an expression for the speed v of the ball after the collision. Assuming the collision is elastic, calculate the ratio "1/M.: а. b. M, с.
A rod is pI ted at po ting an angular speed W. The moment 8f rod about its axi rotation is - M,d². The rod strikes the ball which is initially at rest. After collision, the rod stopped and the ball moves to right. 4E M1 | M2 Before Collision After Collision Derive an expression for the angular momentum of the rod about point P before the collision. Derive an expression for the speed v of the ball after the collision. Assuming the collision is elastic, calculate the ratio "1/M.: а. b. M, с.
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Transcribed Image Text:12. A rod is pivoted at point P and initially rotating at an angular speed w. The moment of inertia of the rod about its axis of
rotation is - M,d². The rod strikes the ball which is initially at rest. After collision, the rod stopped and the ball moves to the
right.
Mi
M2
| M2
Before Collision
After Collision
а.
Derive an expression for the angular momentum of the rod about point P before the collision.
b.
Derive an expression for the speed v of the ball after the collision.
Assuming the collision is elastic, calculate the ratio "1/M.:
с.
A new ball with the same mass M, as the rod is now placed a distance x from the pivot. Assuming the collision is still
elastic, for what value of x will the rod stop moving after hitting the ball?
d.
Before Collision
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