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Physics · SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

हिन्दी

Given below are two statements: Statement I: The moment of a force vanishes if the directional line of action of the force passes through the chosen origin. Statement II: If the directions of both the position vector \( \mathbf{r} \) and the force vector \( \mathbf{F} \) are reversed, the direction of the torque vector \( \boldsymbol{\tau} \) remains unchanged. In the light of the above statements, choose the most appropriate answer from the options given below:

  1. A
    Both Statement I and Statement II are correct.
  2. B
    Both Statement I and Statement II are incorrect.
  3. C
    Statement I is correct but Statement II is incorrect.
  4. D
    Statement I is incorrect but Statement II is correct.
View Answer & Solution

Correct answer · Option A

Both Statement I and Statement II are correct.

Explanation

Torque is zero when \( \theta = 0^\circ \) or \( 180^\circ \). Also, \( (-\mathbf{r}) \times (-\mathbf{F}) = \mathbf{r} \times \mathbf{F} \), so both statements are correct.
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