JEE Physics · Medium

Laws of Motion and Friction: Friction on Incline — Equilibrium MCQ

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

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Friction on Incline — EquilibriumMediumQuestion 30241

Question

A block of mass 8 kg is on an incline (θ = 30°). μₛ = 0.5. Is the block in equilibrium? (g = 10 m/s²)
  1. A
    No, it slides down
    Correct
  2. B
    Yes, static friction is sufficient
  3. C
    It moves up the incline
  4. D
    Impossible to determine

Correct answer

No, it slides down

Explanation

The required friction is mgsin⁡30°=40mg\sin30°=40 N, while the maximum static friction is μsmgcos⁡30°≈34.6μ_smg\cos30°≈34.6 N. Because the required force is larger, the block slides down.