Consider two masses with $m_1 > m_2$ connected by a light inextensible string that passes over a pulley of radius $R$ and moment of inertia $I$ about its axis of rotation. The string does not slip on the pulley and the pulley turns without friction. The two masses are released from rest separated by a vertical distance $2 h$. When the two masses pass each other, the speed of the masses is proportional to
Consider two masses with $m_1 > m_2$ connected by a light inextensible string that passes over a pulley of radius $R$ and moment of inertia $I$ about its axis of rotation. The string does not slip on the pulley and the pulley turns without friction. The two masses are released from rest separated by a vertical distance $2 h$. When the two masses pass each other, the speed of the masses is proportional to
- [KVPY 2016]
- A
$\sqrt{\frac{m_1-m_2}{m_1+m_2+\frac{I}{R^2}}}$
- B
$\sqrt{\frac{\left(m_1+m_2\right)\left(m_1-m_2\right)}{m_1+m_2+\frac{1}{R^2}}}$
- C
$\sqrt{\frac{m_1+m_2+\frac{I}{R^2}}{m_1-m_2}}$
- D
$\sqrt{\frac{1}{R^2}}$
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