13.7 The motion of a particle executing simple harmonic motion is described by the…

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

Problem

13.7 The motion of a particle executing simple harmonic motion is described by the displacement function,

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

If the initial (

t=0

) position of the particle is 1 cm and its initial velocity is

\omega \mathrm{cm} / \mathrm{s}

, what are its amplitude and initial phase angle? The angular frequency of the particle is

\pi \mathrm{s}^{-1}

. If instead of the cosine function, we choose the sine function to describe the SHM :

x=B \sin (\omega t+\alpha)

, what are the amplitude and initial phase of the particle with the above initial conditions.