An object performs simple harmonic motion with amplitude and period

PHYSICS · Subjective · A Level · Physics · Further mechanics and thermal physics · Further mechanics and thermal physics

Problem

An object performs simple harmonic motion with amplitude

0.12\,\text{m}

and period

2.0\,\text{s}

. The displacement at

t=0

is unspecified. The object first passes through the equilibrium position (

x=0

) at

t=0.50\,\text{s}

while moving in the

+x

direction. Determine the phase constant

\phi

(in radians) for the displacement written as

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

, where

\phi

is to be given within the interval

-\pi

\pi

(endpoints included).