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Question 6157
NEET Physics · Hard

System of Particles & Rotational Motion: Torque and Equilibrium MCQ

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Torque and EquilibriumHardQuestion 6157

Question

A ladder (mass M, length L) leans against smooth wall at angle θ. Friction at floor for equilibrium:
  1. A
    Mg tanθ/2
  2. B
    Mg/2tanθ
  3. C
    Mg cosθ/2sinθ
    Correct
  4. D
    Mg/2

Correct answer

Mg cosθ/2sinθ

Explanation

Taking torques about base: N_wall×L sinθ = Mg×(L/2)cosθ. f = N_wall = Mg cosθ/(2sinθ) = Mg cosθ/2sinθ.

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