A ball with mass $m_A$ is translating with horizontal velocity $v_A$ when it strikes a stationary slender bar of mass $m_B$ and length $h.$ The coefficient of restitution of the impact is $e=0\mathrm{.}8.$

Dimensions of the bar and ball are as follows:

Ball: $m_A=1kg,v_A=1\frac{m}{s}$

Bar: $m_B=2kg,h=2m,I_G=\frac{1}{12}{m}_B{h}^2$

a$.$ What is the total angular momentum of the ball and bar about pin C$?$ Show all work and enter your answer here:

$H_C=$longrightarrow$[kg*\frac{m^2}{sec}]$

b$.$ What is the angular velocity of the bar after impact? ${}_B=q,[$rad$/$s$]$

c$.$ If the duration of impact is $0\mathrm{.}1$ seconds, what average horizontal force is exerted on the bar by the pin support C as a result of the impact?

$C_x=$

$8$p