A particle is performing SHM and at t = 3T/4 is at x = A/√2 and moving towards the origin. The equilibrium position is x = 0. After t = 3T/2, which graph represents the particle?
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Question

A particle is performing SHM and at t = 3T/4 is at x = A/√2 and moving towards the origin. The equilibrium position is x = 0. After t = 3T/2, which graph represents the particle?

G1 Physics · Accepted Answer

Use the state at t=3T/4 to determine the phase and then advance the motion by 3T/2, corresponding to an additional phase 3π. A phase shift of 3π reverses both the displacement and velocity signs relative to the same point of the cycle. The graph consistent with this is option B.