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Question

A block hangs from a string wrapped on a disc of radius 20 cm free to rotate about its axis which is fixed in a horizontal position. If the angular speed of the disc is 10 rad/s at some instant, with what speed is the block going down at that instant?

A
4 m/s
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B
3 m/s
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C
2 m/s
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D
5 m/s
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Solution

The correct option is C 2 m/s
Radius of disc r=20 cm=0.2 m
Angular velocity w=10 rad/s
Linear velocity of block v=rw=0.2×10=2 m/s

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