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A pulley fixed to the ceiling carries a ...

A pulley fixed to the ceiling carries a thread with bodies of masses `m_(1)` and `m_(2)` attached at its ends. The masses of the pulley and thread are negligible, friction is absent. Find the acceleration of the centre of mass`(a_("cm"))` of this system.

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The correct Answer is:
`a_(cm)=[(m_(1)-m_(2))//(m_(1)+m_(2))]^(2)g`
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