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Question

A spring block system is doing SHM with Amplitude A and angular frequency ω.

At t=T, the particle is at extreme position. Write displacement versus time equation.


A

x=Asin ω t

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B

x=A+Asin ω t

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C

x=Acos ω t

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D

x=Asin(ω t+Π2)

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Solution

The correct option is D

x=Asin(ω t+Π2)


Generally if particle A at mean position its phase constant is 0 and hence we write x = A sin ωt

But if the particle is at extreme position then the phase constant will be Π2 as you can see in the circle diagram.

So equation becomes x=Asin(ω t+Π2)

Or x=Acosω t

Hence both (c) and (d) are correct.


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