Q.

A 2 kg stone is swung in a vertical circle by attaching it at the end of a string of length 2m. If the string can with stand a tension 140.6N, the maximum speed with which the stone can be rotated is

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a

22 ms–1

b

44 ms–1

c

33 ms-1

d

11 ms–1

answer is D.

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Detailed Solution

From ground frame ,Tmax - mg = mV2 / rTmax = mg + mV2 / r140.6 = 2 X 9.8 + 2 X V2 / 2⇒ V = 11 m/s
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A 2 kg stone is swung in a vertical circle by attaching it at the end of a string of length 2m. If the string can with stand a tension 140.6N, the maximum speed with which the stone can be rotated is