## Question:

Determine the speed of cylinder A, if the rope is drawn towards the motor M at a constant rate of 10 m/s .

## Step-by-step

Position Coordinates: By referring to Fig. a, the length of the rope written in terms of the position coordinates $s_{A}$ and $s_{M}$ is

3 $s_{A}$+$s_{M}$=l

(+$\downarrow$)  3 $v_{A}$+$v_{M}$=0

Here, $v_{M}$=10 m/s . Thus,

3 $v_{A}$+10=0

$v_{A}$=-3.33 m/s=3.33 m/s$\uparrow$