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Question

A block of mass 5 kg tied at the end of a string is whirled round in a vertical circle of radius 1 m. The critical speed of the block at the top of its swing below which the string would slacken before the block reaches the top is
Take (g = 10 m/s2)


A
10 m/s
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B
100 m/s
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C
0.1 m/s
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D
10 m/s
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Solution

The correct option is D 10 m/s
At highest point,
Tension, T in the string =0

Writing the force equation at the top point we get,
mg+T=mv2cl, at the top most point T=0
mg=mv2cl

v2c=lg

vc=lg=1×g=10 m/s

Hence option D is the correct answer

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