Applied Mechanics

Fall $2023$

Final exam $(2023/12/28$ in class from $10$:$10$ AM to $12$:$00$ PM$)$

Problem $1(25$ points$)$:

Blocks A and $B$ have a mass of $25$ kg and $10$ kg $,$ respectively, as shown in Fig. $1.$ There are pulleys at $C$ and $D.$ Using the coefficients of static friction indicated,

$($a$)$ Draw the free$-$body diagrams of blocks A and $B.(6\%)$

$($b$)$ Determine the largest force $P$ which can be applied to the cord without causing motion. $(12\%)$

$($c$)$ Would block B tilt before sliding occurs if $P$ is increased further? $(7\%)$