Question

The pulley system, shown in the figure, has two pulleys of radii $2 \, m$ and $1 \, m$ , respectively. If the acceleration of block $A$ is $5 \, m \, s^{- 2}$ in the downward direction, then the acceleration of block $B$ will be

• A. $0ms^{- 2}$
• B. $5ms^{- 2}$
• C. $10ms^{- 2}$
• D. $\frac{5}{2}ms^{- 2}$

Answer 1

Answer: (D)

Given $a_{A}=\alpha \times 2m=5ms^{- 2}$
$\Rightarrow \alpha =\frac{5}{2}ms^{- 2}$
Hence, acceleration of $B$ , $a_{B}=\alpha \times 1m=\frac{5}{2}ms^{- 2}$