A particle performs SHM so that

PHYSICS · Single correct · AP · Physics 1: Algebra-based · Oscillations · Oscillations

Problem

A particle performs SHM so that x(t)=Acos⁡(ωt+ϕ)x(t)=A\cos(\omega t+\phi). At t=0t=0 its displacement is A2\dfrac{A}{2} to the right of equilibrium, its kinetic energy is three times its potential energy, and it is moving toward the mean position. Which one of the following values of ϕ\phi satisfies all these conditions? (a) −π3-\dfrac{\pi}{3} (b) 2π3\dfrac{2\pi}{3} (c) π3\dfrac{\pi}{3} (d) π6\dfrac{\pi}{6}

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