Q.
The oscillation of a body on a smooth horizontal surface is represented by the equation,X=Acos(ωt)where x = displacement at time tω=frequency of oscillationWhich one of the following graphs shows correctly the variation a with t?
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a
b
c
d
answer is C.
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Detailed Solution
Here, X=Acosωt∴ Velocity, v=dXdt=ddt(Acosωt)=−Aωsinωt Acceleration, a=dvdt=ddt(−Aωsinωt)=−Aω2cosωt Hence the variation of a with t is correctly shown by graph (c).
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