A particle in SHM is at displacement x = A/4 and is moving towards the positive extreme. Which expression gives the time required to reach the positive extreme?
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Question

A particle in SHM is at displacement x = A/4 and is moving towards the positive extreme. Which expression gives the time required to reach the positive extreme?

G1 Physics · Accepted Answer

Using x = A sinφ, the phase at x = A/4 on the outward journey is φ₁ = sin⁻¹(1/4). At the positive extreme, φ₂ = π/2. Hence, Δt = (φ₂−φ₁)/ω = [π/2−sin⁻¹(1/4)]/ω. Correct option: A.