# Rotational Dynamics

A system consists of a ball of mass $M_2$ and a uniform rod of mass $M_1$ and length $d$. The rod is attached to a horizontal frictionless table by a pivot at point $P$ and initially rotates at an angular speed $\omega$, pictured below on the left. The rotational inertia of the rod about point $P$ is $\frac{1}{3}M_1d^2$ . The rod strikes the ball, which is initially at rest. As a result of this collision, the rod is stopped and the ball moves in the direction shown on the right. Express all answers in terms of $M_1$ , $M_2$ , $\omega$ , $d$ , and fundamental constants.

D. A new ball with the same mass $M_1$ as the rod is now placed a distance $x$ from the pivot, as shown above. Again assuming the collision is elastic, for what value $x$ will the rod stop moving after hitting the ball?

SOLUTION MISSING: Unfortunately the author of this youtube video removed their content. You may be able to find a similar problem by checking the other problems in this subject. If you want to contribute, leave a comment with the link to your solution.## Related Problems

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