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MHT CET 2025 (21 Apr, Shift 2) · Vertical Circle: Speed & Tension

Vertical Circle: Speed & Tension question from MHT CET 2025 (21 Apr, Shift 2)

Q9MHT CET 2025 · 21 APR · SHIFT 2Medium

Vertical Circle: Speed & Tension

A simple pendulum oscillates with an angular amplitude $\theta$ . If the maximum tension in the string is 4 times the minimum tension then the value of $\theta$ is

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Answer: (b)

$T_{min} = mg\cos\theta$ , $T_{max} = mg(3 - 2\cos\theta)$
$3 - 2\cos\theta = 4\cos\theta \Rightarrow \cos\theta = 0.5$
So the answer is (b) $\cos^{-1}(0.5)$ .

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