Question

Two masses $M$ and $M/2$ are joined together by means of light inextensible string passed over a ffictionless pulley as shown in figure. When the bigger mass is released, the smaller one will ascend with an acceleration of

• A. $\frac{g}{3}$
• B. $\frac{3 g}{2}$
• C. $g$
• D. $\frac{g}{2}$

Answer 1

Answer: (A)

Here, $m_{1}=M, m_{2}=\frac{M}{2}$
Acceleration of the system.
$a=\frac{\left(m_{1}-m_{2}\right) g}{m_{1}+m_{2}}=\frac{\left(M-\frac{M}{2}\right) g}{\left(M+\frac{M}{2}\right)}=\frac{g}{3}$