Question

A horizontal force $F$ is applied to a frictionless pulley of mass $m_{2}$. The horizontal surface is smooth. The acceleration of the block of mass $m_{1}$ is $n$ times the acceleration of the pulley. The value of $n$ is

• A. 1
• B. 2
• C. 3
• D. 4

Answer 1

Answer: (B)

$T \delta x_{1}-2 T \delta x_{2}=0$
$\Rightarrow \frac{\delta^{2} x_{1}}{d t^{2}}=\frac{2 \delta^{2} x_{2}}{d t^{2}}$ or $a_{1}=2 a_{2}$
If $a_{1}=n \cdot a_{2} \Rightarrow n=2$