The oscillation of a body on a smooth horizontal surface is represented by the equation, X = A cos ⁡ ω t , where X = displacement at time t , ω = frequency of oscillation, a = acceleration at time t and T = time period. Which one of the following graph shows correctly the variation a with t ?

Question

The oscillation of a body on a smooth horizontal surface is represented by the equation, X = A cos ⁡ ω t , where X = displacement at time t , ω = frequency of oscillation, a = acceleration at time t and T = time period. Which one of the following graph shows correctly the variation a with t ?, , , ,

MARKS App · Accepted Answer

The equation of displacement, X = A cos ω t then the speed and acceleration will be in terms of amplitude of the wave and angular acceleration, v = d x d t = A ω sin ω t a = d 2 x d t 2 = - A ω 2 cos ω t , so the graph of acceleration and displacement.

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