A block attached to a light spring performs SHM with where

PHYSICS · Subjective · CBSE · Physics · Oscillations · Oscillations

Problem

A block attached to a light spring performs SHM with x(t)=Acos⁡(ωt+ϕ)x(t)=A\cos(\omega t+\phi) where ω=4.0 rad s−1\omega = 4.0\,\text{rad s}^{-1}. At t=0t = 0, its displacement is −0.040 m-0.040\,\text{m} and its velocity is +0.20 m s−1+0.20\,\text{m s}^{-1}. Calculate: (i) the amplitude AA, and (ii) the phase constant ϕ\phi in the range 0<ϕ<2π0<\phi<2\pi.

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