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Simple Harmonic Motion: Spring-Mass on Inclined Plane MCQ

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Spring-Mass on Inclined PlaneMediumQuestion 31145

Question

A mass on a spring oscillates on a frictionless inclined plane (angle θ). Time period:
  1. A
    2π√(m/(k sinθ))
  2. B
    2π√(m/k)
    Correct
  3. C
    2π√(m sinθ/k)
  4. D
    2π√(mg sinθ/k)

Correct answer

2π√(m/k)

Explanation

On an inclined plane, equilibrium position shifts but spring constant remains k. Period T = 2π√(m/k), unchanged (gravity changes equilibrium, not the restoring constant).

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