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MHT CET 2026 (13 Apr, Shift 1) · Vertical Circle: Speed & Tension

Vertical Circle: Speed & Tension question from MHT CET 2026 (13 Apr, Shift 1)

Q4MHT CET 2026 · 13 APR · SHIFT 1Medium

Vertical Circle: Speed & Tension

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

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Answer: (a)

Pendulum: $T_{min} = mg\cos\theta$ (extreme), $T_{max} = mg(3 - 2\cos\theta)$ (mean)
$3 - 2\cos\theta = 2\cos\theta \Rightarrow \cos\theta = 0.75$
So the answer is (a) $\cos^{-1}(0.75)$ .

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