Oscillations - Result Question 19

22. A particle starts simple harmonic motion from the mean position. Its amplitude is A and time period is T.What is its displacement when its speed is half of its maximum speed

[1996]

(a) 23A

(b) 32A

(c) 23A

(d) A2

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Answer:

Correct Answer: 22. (b)

Solution:

  1. (b) vmax=Aω when v=vmax2=Aω2

v=ωA2y2

Aω2=ωA2y2y=±32A

The displacement at which the speed is n times the maximum speed is given by y=a1n2



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