A particle executes simple harmonic oscillation with an amplitude A . The period of oscillation is T . The minimum time taken by the particle to travel half of the amplitude from the equilibrium position is

Question

A particle executes simple harmonic oscillation with an amplitude A . The period of oscillation is T . The minimum time taken by the particle to travel half of the amplitude from the equilibrium position is, T / 8, T / 12, T / 2, T / 4

MARKS App · Accepted Answer

Using the equation of SHM, x t = A sin ω t (from the equilibruim position) At x t = A / 2 ∴ A 2 = A sin ω t sin π 6 = sin ω t or, π 6 = 2 π t T ⁡ ∵ ω = 2 π T ⁡ or, t = T / 12 .

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