An object moving in undamped simple harmonic motion is described by

PHYSICS · Single correct · A Level · Physics · Further mechanics and thermal physics · Further mechanics and thermal physics

Problem

An object moving in undamped simple harmonic motion is described by x=Acos⁡ ⁣(2πt/T)x = A\cos\!\bigl(2\pi t/T\bigr). If the displacement is at its maximum positive value at t=0t = 0, at which of the following times is the magnitude of its acceleration next at a maximum? (a) T4\dfrac{T}{4} (b) T2\dfrac{T}{2} (c) 3T4\dfrac{3T}{4} (d) TT

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