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The oscillation of a body on a smooth horizontal surface is represented by the equation , X = A cos (ωt)
where X = displacement at time t
ω = frequency of oscillation
Which one of the following graphs shows correctly the variation of ‘a’ with ‘t’?
Correct Option: C
Displacement, x = A cos (ωt) (given)
| Velocity, v = | = -Aω sin (ωt) | |
| dt |
| Acceleration, a = | = -Aω2 cos ωt | |
| dt |
Hence graph (c) correctly dipicts the variation of a with t.
