A body is performing simple harmonic motion of amplitude A and time period T . The figure shows position-time graph of the body. At any time t , acceleration of the body is f , then which of the following graphs is/are appropriate?

Question

A body is performing simple harmonic motion of amplitude A and time period T . The figure shows position-time graph of the body. At any time t , acceleration of the body is f , then which of the following graphs is/are appropriate?, , , ,

MARKS App · Accepted Answer

Since initial phase is π 2 as per the given graph. Using the equation of position of SHM x = A sin ( ω t + π 2 ) ⇒ x = A cos ω t ⇒ acceleration f = d 2 x d t 2 = − A ω 2 cos ω t Which is represented in option third.

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