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MHT CET · Physics · Work Power Energy

A weightless thread can bear tension up to 3.7 kg wt. A stone of mass 500 gram is tied to it and revolved in circular path of radius 4 m in vertical plane. Maximum angular velocity of the stone will be (acceleration due to gravity, \(g=10 \mathrm{~m} / \mathrm{s}^2\) )

  1. A \(16 \mathrm{rad} / \mathrm{s}\)
  2. B \(4 \mathrm{rad} / \mathrm{s}\)
  3. C \(2 \mathrm{rad} / \mathrm{s}\)
  4. D \(8 \mathrm{rad} / \mathrm{s}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(4 \mathrm{rad} / \mathrm{s}\)

Step-by-step Solution

Detailed explanation

\(T_{max} = 3.7 \times 10 = 37 \mathrm{~N}\) \(T_{max} = mg + m\omega^2 r\)