The displacement of a particle along the x-axis is given by x=asin2ωt. The motion of the particle corresponds to.
Simple harmonic motion of frequency 3ω/2π
Simple harmonic motion of frequency ω/2π
Non simple harmonic motion
Simple harmonic motion of frequency ω/π
A
Simple harmonic motion of frequency ω/π
B
Simple harmonic motion of frequency ω/2π
C
Non simple harmonic motion
D
Simple harmonic motion of frequency 3ω/2π
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Solution
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Given, X=asin2ωt or X=a(1−cos2ωt2)[∵cos2θ=1−2sin2θ] or X=a2−acos2ωt2 Now, V=dxdt=aωsin2ωt and a=dv/dt=2aω2cos2ωt Here, a is not directly proportional to (−x) which is a condition for SHM.
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