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

Options

A. `g//4`
B. g/2
C. g
D. 2g

Answer

A

Explanation

Acceleration of the system `a = (3m - m)/( 3m + m) g = (g)/(2)`
Acceleration of centre of mass , `a_(CM) = (3 m xx (g)/(2) - (mg)/(2))/(3 m + m) = (g)/(4)`