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Question

A particle in SHM is described by the displacement function: x(t)=A cos(ωt+ϕ). If the initial (t=0) position of the particle is 1 cm and its initial velocity is π cm/sec , what is the amplitude?

A
2cm
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B
2cm
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C
7cm
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D
12cm
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Solution

The correct option is C 2cm
x(t)=Acos(ωt+ϕ)
v(t)=dx(t)dt
=ωAsin(ωt+ϕ)
Initial position=x(t=0)=Acosϕ=1cm
Initial velocity=v(t=0)=Aωsinϕ=ωcm/s
Hence, A=2cm

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