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

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 -
.

A

9

B

18

C

27

D

36

Text Solution

Verified by Experts

The correct Answer is:
D
T = sin `theta = mL sin theta omega^(2)`
`324 = 0.5 xx 0.5 xx omega^(2)`
`omega^(2) = (324)/(0.5 xx 0.5) = 36 "rad" s^(-1)`
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