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Q.

Disc of mass M = 10 kg and radius R = 50 cm is revolving about fixed vertical axis on smooth horizontal surface with angular velocity ω0=4 rad/sec. A block of mass m = 5kg is connected to disc through slack string as shown in the diagram. Find the velocity of the block when string become taut.

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Detailed Solution

Angular momentum Conservation12MR2ω0=MR22+mR2ω′ MM+2mω0=ω′ U=ω′R=MM+2mω0R
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