A ball of mass m = 0 . 5 kg is attached to the end of a string having length L = 0 .5 m is rotated on a horizontal circular path about the vertical axis. The maximum tension that the string can bear is 324 N . What is the maximum possible value of angular velocity of ball (in radian / s ) ?

Question

A ball of mass m = 0 . 5 kg is attached to the end of a string having length L = 0 .5 m is rotated on a horizontal circular path about the vertical axis. The maximum tension that the string can bear is 324 N . What is the maximum possible value of angular velocity of ball (in radian / s ) ?, 9, 18, 27, 36

MARKS App · Accepted Answer

T sin θ = m ω 2 r T sin θ = m ω 2 L sin θ T = m ω 2 L 3 2 4 = 1 2 ω 2 1 2 Therefore ω = 3 6

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