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Physics · SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

हिन्दी

Two equal and opposite forces, each of magnitude \( 25\text{ N} \), act at the two ends of a light rigid rod of length \( 1.2\text{ m} \). Each force makes an angle of \( 30^\circ \) with the rod. The magnitude of the couple formed by these two forces is:

  1. \( 15\sqrt{3}\text{ N m} \)
  2. \( 30.0\text{ N m} \)
  3. \( 15.0\text{ N m} \)
  4. \( 7.5\text{ N m} \)

Correct answer · Option 3

\( 15.0\text{ N m} \)

Explanation

Perpendicular distance between lines of action is \( d = L \sin 30^\circ = 1.2 \times 0.5 = 0.6\text{ m} \). Moment of couple \( = F d = 25 \times 0.6 = 15.0\text{ N m} \).
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