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MHT CET 2025 (19 Apr, Shift 2) · Vertical Circle: Speed & Tension

Vertical Circle: Speed & Tension question from MHT CET 2025 (19 Apr, Shift 2)

Q7MHT CET 2025 · 19 APR · SHIFT 2Medium

Vertical Circle: Speed & Tension

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, $g = 10\text{ m/s}^2$ )

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Answer: (b)

Maximum tension is at the lowest point: $T = m(g + \omega^2 r)$
$T_{max} = 3.7 \times 10 = 37$ N: $37 = 0.5(10 + 4\omega^2)$
$74 = 10 + 4\omega^2 \Rightarrow \omega^2 = 16 \Rightarrow \omega = 4$ rad/s
So the answer is (b) $4\text{ rad/s}$ .

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