Oscillations - Result Question 10

13. The displacement of a particle along the x-axis is given by x=asin2ωt. The motion of the particle corresponds to:

[2010]

(a) simple harmonic motion of frequency ω/π

(b) simple harmonic motion of frequency 3ω/2π

(c) non simple harmonic motion

(d) simple harmonic motion of frequency ω/2π

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Answer:

Correct Answer: 13. (a)

Solution:

  1. (a) x=asin2ωt=a2(1cos2ωt)

dxdt=a22ωsin2ωt

d2xdt2=4ω2a2cos2ωt

This represents an S. H. M. of frequency

=ωπ



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