Question

If the system is released, then the acceleration of the centre of mass of the system is

• A. $g / 4$
• B. $g / 2$
• C. $g$
• D. $2 g$

Answer 1

Answer: (A)

Acceleration of the system, $a=\frac{3 m-m}{3 m+m} g=\frac{g}{2}$
Acceleration of centre of mass, $a_{ CM }=\frac{3 m \times \frac{g}{2}-\frac{m g}{2}}{3 m+m}=\frac{g}{4}$