A block attached to a horizontal spring oscillates with amplitude and angular frequency

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

Problem

0.20\,\text{kg}

block attached to a horizontal spring oscillates with amplitude

0.060\,\text{m}

and angular frequency

8.0\,\text{rad}\,\text{s}^{-1}

. At

t=0

the block is

0.030\,\text{m}

to the right of equilibrium and moving toward the left (toward the equilibrium position). Determine the phase constant

\phi

(in radians) for the displacement written as

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

giving your answer in the interval

-\pi

\pi

(endpoints included).