A particle performing SHM about mean position x = 0 is at x = A/√2 at t = 0 and is moving towards the origin. Which graph between position x and time t is possible?
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A particle performing SHM about mean position x = 0 is at x = A/√2 at t = 0 and is moving towards the origin. Which graph between position x and time t is possible?

G1 Physics · Accepted Answer

At t=0, x=A/√2 and the particle moves toward the origin, so v<0. With x=A sinφ, sinφ=1/√2 and cosφ<0, hence φ=3π/4. The graph that starts at A/√2 with negative slope is option A.