Homework H$\mathrm{.}4.$T

Given: Rigid arm OA $($having length $L$ and having negligible mass$)$ is pinned to ground at end O$.$ A particle of mass $M$ is attached to end A of OA$.$ At instant $"1",$ a pellet P $($having a mass of $m$ strikes the stationary particle A with a speed of $v_{P1}$ in the direction shown below in the figure. At the end of a short time interval impact, P sticks to A $.$

Find: Determine the angular speed of arm OA immediately after P sticks to A$.$

VERTICAL PLANE

Use the following parameters in your analysis: $=30,L=4ft,mg=4lb,Mg=8lb$ and $v_{P1}=150f\frac{t}{s}.$