Question

Two weights of the mass m$_1$and m$_2$ (> m$_1$) are joined by an inextensible string of negligible mass passing over a fixed frictionless pulley. The magnitude of the acceleration of the loads is

• A. g
• B. $\frac{m_{2}-m_{1}}{m_{2}} g$
• C. $\frac{m_{1}}{m_{2}+m_{1}}g$
• D. $\frac{m_{2}-m_{1}}{m_{2}+m_{1}} g$

Answer 1

Answer: (D)

$\frac{m_{2}-m_{1}}{m_{2}+m_{1}} g$

Answer 2

$m_{2}g -T =m_{2}a$
$T-m_{1}g=m_{1}a$
$Solving these we get$
$a=\left(\frac{m_{2}-m_{1}}{m_{2}+m_{1}}\right) g$