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Physics · SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

हिन्दी

A rigid body rotates about a fixed axis with constant angular velocity. Two particles \( P_1 \) and \( P_2 \) of the body are at perpendicular distances of \( 4\text{ cm} \) and \( 12\text{ cm} \) from the axis of rotation, respectively. The ratio of linear speed of \( P_1 \) to that of \( P_2 \) is:

  1. \( 3 : 1 \)
  2. \( 9 : 1 \)
  3. \( 1 : 3 \)
  4. \( 1 : 9 \)

Correct answer · Option 3

\( 1 : 3 \)

Explanation

All particles in a rigid body rotate with the same \( \omega \). Since \( v = \omega r \), \( \frac{v_1}{v_2} = \frac{r_1}{r_2} = \frac{4}{12} = \frac{1}{3} \).
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