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Questions  

The oscillation of a body on a smooth horizontal surface is represented by the equation,

X=Acos(ωt)

where x = displacement at time t

ω=frequency of oscillation

Which one of the following graphs shows correctly the variation a with t?

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By Expert Faculty of Sri Chaitanya
a
b
c
d

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detailed solution

Correct option is C

Here, X=Acos⁡ωt∴  Velocity, v=dXdt=ddt(Acos⁡ωt)=−Aωsin⁡ωt Acceleration, a=dvdt=ddt(−Aωsin⁡ωt)=−Aω2cos⁡ωt Hence the variation of a with t is correctly shown by graph (c).


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