A particle executes SHM described by

PHYSICS · Subjective · CBSE · Physics · Oscillations · Oscillations

Problem

A particle executes SHM described by x(t)=Acos⁡(ωt+ϕ)x(t)=A\cos(\omega t+\phi). At t=0t=0 it passes through the equilibrium position with speed 1.0 m s−11.0\,\text{m s}^{-1}. Given ω=5.0 rad s−1\omega = 5.0\,\text{rad s}^{-1}, find: (i) the amplitude AA, (ii) the phase constant ϕ\phi (smallest positive value, in rad).

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