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Question 31156
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Simple Harmonic Motion: Spring-Mass MCQ

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Spring-MassHardQuestion 31156

Question

A block of mass m attached to spring (k) is placed on a surface with friction μ. Block oscillates. Amplitude decreases by Δa each half cycle where Δa is:
  1. A
    2μmg/k
    Correct
  2. B
    μmg/k
  3. C
    4μmg/k
  4. D
    μmg/(2k)

Correct answer

2μmg/k

Explanation

Each half cycle, friction removes energy. Amplitude reduction per half cycle: ΔA = 2μmg/k. (Friction force = μmg over half cycle length.)

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