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Q)

Acceleration of block $m_1$ is (given moment of inertia of pulley is I and string does not slip over the pulley )

 

\[\begin {array} {1 1} (a)\;\frac{(m_1-m_2)g}{(m_1+m_2)} & \quad (b)\;\frac{(m_1-m_2)g}{(m_1+m_2+I/l^2)}\\ (c)\;\frac{(m_1-m_2+I/R^2)}{(m_1+m_2)} & \quad  (d)\;\frac{(m_1-m_2+I/R^2)}{(m_1+m_2)} \end {array}\]

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