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Question:

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

18

9

27

36

Solution:

We have, Tsinθ = mrω²
But, sinθ = r/L ∴ T = mLω²
∴ 324 = 0.5 × 0.5 × ω²
∴ ω = 36 rad/s