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AP® Physics C: Mechanics

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Moderate

A Collision Involving Angular Momentum 1

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A thin rod of length, L and mass, m is at rest on a frictionless table as depicted in the image above when a point mass of mass, m moving with a velocity, v collides with the rod at point p giving it an angular velocity $\omega$.

The rod is hinged about its center of mass. After the collision, the point mass sticks to the rod.

Which of the following actions would double the value of $\omega$?

A

Doubling the mass of the rod

B

Doubling the mass of the rod and the mass of the point mass

C

Doubling the mass of the point mass

D

Doubling the length of the rod such that the mass still hits at its end point

E

Doubling the velocity of the point mass