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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)

Q6MHT CET 2025 · 21 APR · SHIFT 2Easy

Vertical Circle: Speed & Tension

A pendulum bob has a speed 4 m/s4\text{ m/s} at its lowest position. The pendulum is 1 m long. When the length of the string makes an angle of 60∘60^\circ with the vertical, the speed of the bob at that position is (acceleration due to gravity, g=10 m/s2,cos⁡60∘=0.5g = 10\text{ m/s}^2, \cos 60^\circ = 0.5)

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Answer: (c)

  1. Energy: v2=u2−2gL(1−cos⁡60∘)v^2 = u^2 - 2gL(1 - \cos 60^\circ)
  2. v2=16−2(10)(1)(0.5)=6v^2 = 16 - 2(10)(1)(0.5) = 6
  3. So the answer is (c) 6 m/s\sqrt{6}\text{ m/s}.
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