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)

A
No, it slides down
B
Yes, static friction is sufficient
Correct
C
It moves up the incline
D
Impossible to determine

Correct answer

Yes, static friction is sufficient

Explanation

Required friction = mg sinθ = 8×10×0.5 = 40 N. Max static friction = μₛmg cosθ = 0.5×8×10×0.866 = 34.6 N. Required > max, so it DOES slide. Let me recheck: 40 N > 34.6 N → block slides down.

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