For questions $9$ through $12,$ consider the beam below, supported with a fixed end at A and a free end at $C.$ It is loaded with a downward load $P,$ as shown. $EI=$ constant.

$9.$ Compute the vertical reaction at $A(A_y).$

$($a$)0$

$($b$)\frac{P}{4}$

$($c$)\frac{P}{2}$

$($d$)P$

$10.$ Calculate the resisting counter$-$clockwise moment at $A(A_{\text{m}\text{o}\text{m}}).$

$($a$)0$

$($b$)P\frac{L}{4}$

$($c$)P\frac{L}{2}$

$($d$)PL$

$11.$ Calculate the slope $($rotation$)$ at $C.$

$($a$)P\frac{L^2}{2}EI$

$($b$)P\frac{L^2}{4}EI$

$($c$)P\frac{L^2}{8}EI$

$($d$)P\frac{L^2}{16}EI$

$12.$ Calculate the deflection at $B.$

$($a$)P\frac{L^3}{24}EI$

$($b$)P\frac{K^3}{48}EI$

$($c$)P\frac{L^3}{96}EI$

$($d$)P\frac{L^3}{E}$I