A particle executing SHM is described by

PHYSICS · Single correct · A Level · Physics · Further mechanics and thermal physics · Further mechanics and thermal physics

Problem

x = A\cos(2 t + \phi)

, where

x

is in metres and

t

in seconds. If at

t=0

the particle has displacement

0.0866\,\text{m}

and velocity

0.10\,\text{m s}^{-1}

, the correct equation of motion is (a)

x = 0.10\,\cos\!\left(2 t + \dfrac{\pi}{6}\right)

(b)

x = 0.05\,\cos\!\left(2 t - \dfrac{\pi}{6}\right)

(c)

x = 0.10\,\cos\!\left(2 t - \dfrac{\pi}{6}\right)

(d)

x = 0.0866\,\cos\!\left(2 t\right)