Problem $4$:$(15$ points$)$

The blocks A and $B$ are connected by a non$-$stretchable cable passing over a frictionless pulley as shown in the

figure. The block A and $B$ weighs $750$ N and $500$ N respectively. The coefficient of static friction for all the

surfaces of contacts is ${}_s=0\mathrm{.}2.$

a$.$ Draw the FBD of both the blocks considering the tension in the cable as $T.$

$(5$ points$)$

b$.$ Find the tension $T$ and the force $P$ that causes the motion between these blocks to impend.

$(10$ points$)$