A particle executing simple harmonic motion has angular frequency

PHYSICS · Subjective · CBSE · Physics · Oscillations · Oscillations

Problem

10\pi\,\text{rad}\,\text{s}^{-1}

. At

t=0

its displacement is

-3.0\,\text{cm}

and its velocity is

+30\pi\,\text{cm}\,\text{s}^{-1}

. For the motion described by

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

, find: (i) the amplitude

A

, (ii) the phase constant

\phi

in degrees (

0^{\circ}\le\phi<360^{\circ}