Question

A small object with a mass of 1.62 kg is moving with a speed of
290 m/s (with respect to the ground) when it collides with a rod
with a mass of 11.99 kg and a length of *L* m. The rod is
initially at rest, in a vertical position, and pivots about an axis
going through its center of mass which is located exactly halfway
along the rod. The object imbeds itself in the rod at a distance
*L*/4 from the pivot point. As a result, the object-rod
system starts rotating together. If the magnitude of the angular
velocity (in rad/s) of the rotation (with respect to the ground)
immediately after the collision is 7.1 rad/s, what is the length
*L* (in m) of the rod? You may treat the object as a point
particle.

Answer #1

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