Problem $12\mathrm{.}031-$ Blocks in a pulley system

A $20-$lb block $B$ rests as shown on a $26-$Ib bracket $A.$ The coefficients of friction are ${}_s=0\mathrm{.}30$ and ${}_k=0\mathrm{.}25$ between

block $B$ and bracket $A,$ and there is no friction in the pulley or between the bracket and the horizontal surface.

Problem $12\mathrm{.}031.$b $-$ Weight of the block in the pulley system

Determine the maximum weight of block $C$ if block $B$ is not to slide on bracket $A.$

The maximum weight of block $C$ if block $B$ is not to slide on bracket $A$ is

Ibs.

If the weight of block $C$ is $10\%$ larger than the answer found in Part a$,$ determine the accelerations of $A,B$ and $C.($Round the final

answers to three decimal places.$)$

The acceleration of $A$ is

$f\frac{t}{s^2}.$

The acceleration of $B$ is

$f\frac{t}{s^2}.$

The acceleration of $C$ is

$f\frac{t}{s^2}$