Show that for a particle executing SHM,


 Show that for a particle executing SHM, velocity, and displacement have a phase difference of π/2.


The displacement equation of SHM, x = a cos ꞷt

Velocity, v = dx/dt = -aꞷ sin ꞷt

The phase displacement, ϕ1 = ꞷt

Phase velocity, ϕ2 = π/2 + ꞷt

Therefore, difference in phase of displacement = ϕ2 – ϕ1 = π/2

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