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CGP EDU Academic Team
Published on: September 12, 2026
A weightless thread can support tension upto 30 N . A stone of mass 0.5 kg is tied to it and is revolved in a circular path of radius 2 m in a vertical plane. If \(g = 10 \mathrm{m} / \mathrm{s}^2\) , then the maximum angular velocity of the stone will be
Text Solution
Verified by ExpertsThe correct answer is:
A
\(T_{\max} = m \omega_{\max}^{2} r + mg\) ⇒ ⇒ \(\frac{T_{\max}}{m} = \omega^{2} r - g\)
⇒ ⇒ \(\frac{30}{0.5} - 10 = \omega_{\max}^2 r\) ⇒ ⇒ \(\omega_{\max} = \sqrt{\frac{50}{r}} = \sqrt{\frac{50}{2}} = 5 \, \mathrm{rad} / \mathrm{s}\)
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