## Question:

The cylinder C is being lifted using the cable and pulley system shown. If point A on the cable is being drawn toward the drum with a speed of 2 m/s , determine the speed of the cylinder.

## Step-by-step

l=$s_{C}$+$\left(s_{C}-h\right)$+$\left(s_{C}-h-s_{A}\right)$
l=3 $s_{C}$-2 h-$s_{A}$
0=3 $v_{C}$$v_{A}$
$v_{C}$=$\frac{v_{A}}{3}$=$\frac{-2}{3}$=-0.667 m/s=0.667 m/s $\uparrow$