A particle executing SHM is at x = A/2 and is moving towards the positive extreme. If the time period is T, how much additional time is required for the particle to reach x = A?
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Question

A particle executing SHM is at x = A/2 and is moving towards the positive extreme. If the time period is T, how much additional time is required for the particle to reach x = A?

G1 Physics · Accepted Answer

Write x = A sinφ. At x = A/2 while moving towards +A, φ₁ = π/6. At the positive extreme, φ₂ = π/2. Thus, Δφ = π/2−π/6 = π/3. Therefore, Δt = Δφ/ω = (π/3)/(2π/T) = T/6. Correct option: C.