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Q.
If the system is released, then the acceleration of the centre of mass of the system is
System of Particles and Rotational Motion
Solution:
Acceleration of the system, $a=\frac{3 m-m}{3 m+m} g=\frac{g}{2}$
Acceleration of centre of mass, $a_{ CM }=\frac{3 m \times \frac{g}{2}-\frac{m g}{2}}{3 m+m}=\frac{g}{4}$
