Question

Find the velocities of the hanging block if the velocities of the free ends of the rope are as indicated in the figure.

• A. $3/2$ $m/s\uparrow$
• B. $3/2$ $m/s\downarrow$
• C. $1/2$ $m/s\uparrow$
• D. $1/2$ $m/s\downarrow$

Answer 1

The correct option is A $3/2$ $m/s\uparrow$

Workdone by $T=0$
$\therefore \sum T\cdot V=0$
$2\cdot T+1\cdot T+2TV=0$
$\Rightarrow -3T=-2TV$($T$ & $2$ are ${180}^o$)
$\therefore V=\frac{3}{2}$ $m/s\uparrow$