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Question 30350
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Rigid Body Dynamics: Torque — Compound Pendulum MCQ

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Torque — Compound PendulumHardQuestion 30350

Question

A rod (mass M, length L) pivoted at one end swings as a pendulum. The restoring torque when displaced by small angle θ is:
  1. A
    MgL sinθ ≈ MgLθ
  2. B
    Mg(L/2)sinθ ≈ Mg(L/2)θ
    Correct
  3. C
    MgLθ/2
  4. D
    MgL cosθ

Correct answer

Mg(L/2)sinθ ≈ Mg(L/2)θ

Explanation

Gravity acts at the centre of mass (L/2 from pivot). Restoring torque = Mg(L/2)sinθ ≈ Mg(L/2)θ for small θ.

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