JEE Physics · Hard

Laws of Motion and Friction: Advanced — Force on Incline MCQ

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

Timer-based practiceDetailed answer reviewMobile-friendly flow
Advanced — Force on InclineHardQuestion 30281

Question

A block on a rough incline (θ = 30°, μₛ = 0.6) is pulled up the incline with slowly increasing force F along the incline. At what F does it start moving? (m = 5 kg, g = 10)
  1. A
    25 N
  2. B
    45.98 N
  3. C
    50.98 N
    Correct
  4. D
    34.64 N

Correct answer

50.98 N

Explanation

Required to start moving up: F = mg sinθ + μₛmg cosθ = 5×10×0.5 + 0.6×5×10×0.866 = 25 + 25.98 ≈ 50.98 N.