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Physics · SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

हिन्दी

A rigid body rotates about a fixed axis with an angular acceleration of \( 5\text{ rad/s}^2 \). If the moment of inertia of the body about this axis is \( 12\text{ kg}\cdot\text{m}^2 \), the magnitude of the external torque acting on the body is:

  1. \( 2.4\text{ N}\cdot\text{m} \)
  2. \( 144\text{ N}\cdot\text{m} \)
  3. \( 300\text{ N}\cdot\text{m} \)
  4. \( 60\text{ N}\cdot\text{m} \)

Correct answer · Option 4

\( 60\text{ N}\cdot\text{m} \)

Explanation

Using Newton's second law for rotation, \( \tau = I \alpha = 12 \times 5 = 60\text{ N}\cdot\text{m} \).
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