A particle starts from the mean position of its SHM and moves towards the positive extreme. If its time period is T, what time does it take to reach the position x = A/2 for the first time?
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Question

A particle starts from the mean position of its SHM and moves towards the positive extreme. If its time period is T, what time does it take to reach the position x = A/2 for the first time?

G1 Physics · Accepted Answer

Choose x = A sinωt because the particle starts from the mean position and initially moves in the positive direction. At x = A/2, sinωt = 1/2. For the first passage, ωt = π/6. Since ω = 2π/T, t = (π/6)/(2π/T) = T/12. Correct option: C.