I ran across this problem studying for my exam, and I'm not sure how to solve it:(adsbygoogle = window.adsbygoogle || []).push({});

1. The problem statement, all variables and given/known data

A thin rod of Mass M and length L is supported by a pivot a distance of L/4 from its left end. A second support a distance 3L/4 from the left end prevents it from falling. A clay ball of mass M/2 drops from a height H above the beam, strikes the left end and completely sticks to the rod. The beam swings upward to make an angle [tex]\Theta[/tex] with the horizontal.

a. Calculate the moment of Inertia, I_{z}, of the beam and clay ball together around the pivot point, after the clay sticks to the beam.

b. Calculate the angle [tex]\Theta[/tex] to which the beam rises. Express your answer in terms of [tex]\omega[/tex], V, and/or I_{z}.

3. The attempt at a solution

For a, I was thinking of finding the moment of Inertia at the new center of mass after the ball sticks, then using the parallel axis theorem to get I_{z}, but that seems too messy..

For b, I think there must be some way to do it with energy conservation, but I really don't know where to start.

Thanks for the help.

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# Homework Help: Rotational Motion

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