Question

Assuming the string to be inextensible and surface and pulley to be frictionless, velocity of block $B$ $\left(V_B\right)$ in the given figure is

• A. $2\text{m/s}$
• B. $6\text{m/s}$
• C. $8\text{m/s}$
• D. $10\text{m/s}$

Answer 1

The correct option is D $10\text{m/s}$

For an inextensible string velocity component of the end points along the string will be same. Taking the component of $V_B$ along the string.

$V_B\cos {37}^{\circ }=8$
$\Rightarrow V_B=8\times \frac{5}{4}=10\text{m/s}$