An oscillator moves according to with

PHYSICS · Subjective · CBSE · Physics · Oscillations · Oscillations

Problem

An oscillator moves according to

x(t)=A\cos(\omega t+\phi)

with

\omega = 4\pi\,\text{rad}\,\text{s}^{-1}

. It is found to be at

x=+1.0\,\text{cm}

t=0

and at

x=-1.0\,\text{cm}

t=0.10\,\text{s}

. Determine: (i) the amplitude

A

, (ii) the phase constant

\phi

(in radians,

-\pi<\phi\le\pi