NEET Physics · Hard

System of Particles & Rotational Motion: Torque and Equilibrium MCQ

Solve this quality-checked NEET multiple-choice question, then review the correct answer and explanation.

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Torque and EquilibriumHardQuestion 6168

Question

A uniform rod (length 2 m, mass 4 kg) is pivoted 0.5 m from one end. What perpendicular force at the farther end keeps it horizontal (g=10 m/s²)?
  1. A
    40/3 N
    Correct
  2. B
    20 N
  3. C
    30 N
  4. D
    40 N

Correct answer

40/3 N

Explanation

The rod's weight acts 0.5 m from the pivot, producing 4×10×0.5=204×10×0.5=20 N·m of torque. The farther end is 1.5 m from the pivot, so 1.5F=201.5F=20 and F=<strong>40/3 N</strong>F=<strong>40/3\text{ N}</strong>.