If the displacement equation of a particle from its mean position is given as y=0.2sin(10πt+1.5π)cos(10πt+1.5π) then, the motion of particle is
A
Non-periodic
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B
Periodic but not SHM
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C
SHM with period 0.2 s
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D
SHM with period 0.1 s
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Solution
The correct option is D SHM with period 0.1 s Given, y=0.2sin(10πt+1.5π)cos(10πt+1.5π) =0.1sin2(10πt+1.5π) [∵sin2A=2sinAcosA] =0.1sin(20πt+3.0π) So, the motion of particle is SHM Time period, T=2πω=2π20π=110=0.1s