First slide
Vertical circular motion
Question

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

Easy
Solution


From ground frame ,

Tmax - mg = mV2 / r

Tmax = mg + mV2 / r

140.6 = 2 X 9.8 + 2 X V2 / 2

⇒ V = 11 m/s
 

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