The instantaneous displacement of a simple harmonic oscillator is given by y = a cos ⁡ ω t + π 4 . Its speed will be maximum at the time

Question

The instantaneous displacement of a simple harmonic oscillator is given by y = a cos ⁡ ω t + π 4 . Its speed will be maximum at the time, 2 π ω, ω 2 π, ω π, π 4 ω

MARKS App · Accepted Answer

Speed is maximum when y = 0 ∴ 0 = a cos ⁡ ω t + π 4 ω t + π 4 = ( 2 n + 1 ) π 2 ω t = n π + π 4 t = n π ω + π 4 ω for n = 0, t = π 4 ω

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