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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