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NDA 2024 · PYQ · Mechanics / Equilibrium of Forces · easy

If the block P as shown in the figure below were to be at rest, what should the magnitude of force F be? (Forces acting on block P: 10 N to the left and 2 N to the right at the top; 15 N to the left and 15 N to the right (along with F) at the bottom.)

  1. A.5 N
  2. B.6 N
  3. C.8 N✓ Correct
  4. D.10 N

Explanation

For the block to remain at rest, the net horizontal force must be zero. Taking rightward as positive, the rightward forces are 2 N, 15 N, and F. The leftward forces are 10 N and 15 N. Balance requires: 2 + 15 + F = 10 + 15, giving 17 + F = 25, so F = 8 N. Therefore, the magnitude of F should be 8 N.
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