Question

Find the velocity $\left(V_A\right)$ of block $A$ in the shown figure.

• A. $14\text{m/s}$ downwards.
• B. $16\text{m/s}$ upwards.
• C. $12\text{m/s}$ downwards.
• D. $10\text{m/s}$ upwards.

Answer 1

The correct option is B $16\text{m/s}$ upwards.

Given the condition

As per the pulley formula, taking upward positive, we have
$V_P=\frac{V_A+V_B}{2}$
Now, suppose the block $A$ moves upward, then we have
$V_P=\frac{V_A+V_B}{2}\Rightarrow 10=\frac{V_A+4}{2}$
$\Rightarrow V_A=16\text{m/s}$
Hence, velocity of block $A$ is $16\text{m/s}$ upwards.