Homework H$4.$V

Given: Particles A and B $($having masses of $2m$ and $m,$ respectively$)$ are attached to a rigid L$-$shaped arm, with the arm having negligible mass. With A and B being initially at rest, a third particle P $($having a mass of $m)$ impacts A with a speed of $v,$ with the velocity of P before impact being perpendicular to OA$.$ The coefficient of restitution for this impact is $e.$ All motion of the system is in a horizontal plane. DRAW FREE BODY DIAGRAMS

Find: Determine the angular speed of the arm after impact.

arm

HORIZONTAL PLANE

Leave your answers in terms of$,$ at most: $m,L,v$ and $e.$