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  4. If the system is released, then the acceleration of the centre of mass of the system is:

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Q. If the system is released, then the acceleration of the centre of mass of the system is:Physics Question Image

System of Particles and Rotational Motion

Solution:

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$ a = \frac{3 m-m}{3 m+m} g=\frac{g}{2}$
$a_{ cm } =\frac{3 a+3 m(-a)}{m+3 m}$
$=\frac{-2 m a}{4 m}=-\frac{a}{2}=-\frac{g}{4}$