JEE Physics · Medium

Rigid Body Dynamics: Torque — Zero MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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Torque — ZeroMediumQuestion 30314

Question

Torque is zero when:
  1. A
    Force is large
  2. B
    Force is perpendicular to the position vector
  3. C
    Force is parallel to the position vector (or passes through the axis)
    Correct
  4. D
    Angular velocity is non-zero

Correct answer

Force is parallel to the position vector (or passes through the axis)

Explanation

τ = r × F = rF sinθ. When θ = 0° or 180° (force parallel to r), sinθ = 0, so τ = 0. Also zero when force passes through the axis.