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For a particle executing simple harmonic motion, determine the ratio of average acceleration of particle from extreme position to equilibrium position to the maximum acceleration.

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a

4π

b

2π

c

1π

d

12π

answer is B.

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Detailed Solution

Let the equation of simple harmonic motion be,x = A sin ωtThen, the required ratio is ∫0T4ω2Asin ωt dtT4×ω2A = 2π

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For a particle executing simple harmonic motion, determine the ratio of average acceleration of particle from extreme position to equilibrium position to the maximum acceleration.