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A ball of mass (m) 0.5kg is attached to ...

A ball of mass (m) 0.5kg is attached to the end of a string having length (L) 0.5m. The ball is rotated on a horizontal circular path about vertical axis. The maximum tension that the string can bear is 324N. The maximum possible value of anguar velocity of ball(in radian/s) is

A

9

B

18

C

27

D

36

Text Solution

Verified by Experts

The correct Answer is:
D
`T = m omega^(2) L`
`324 = 0.5 xx 0.5 xx omega^(2)`
`omega^(2) = (324)/(0.5 xx 0.5)`
`implies omega = 36` rad/s
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A ball of mass (m) 0.5 kg is attached to the end of a string having length (L) 0.5 m . The ball is rotated on a horizontal circular path about vertical axis. The maximum tension that the string can bear is 324 N . The maximum possible value of angular velocity of ball (in radian//s) is - .

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