The motion of a particle executing simple harmonic motion is described by the displacement function, x(t) = A cos (ωt + φ ). If the initial (t = 0) position of the particle is 1 cm and its initial velocity is ω cm/s, what are its amplitude and initial phase angle ? The angular frequency of the particle is π `s^(–1)`. If instead of the cosine function, we choose the sine function to describe the SHM : x = B sin (ωt + α), what are the amplitude and initial phase of the particle with the above initial

Question

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

`x(t) = A cos (ωt + φ )`. If the initial (t = 0) position of the particle is 1 cm and its initial velocity is ω cm/s, what are its amplitude and initial phase angle ?

The angular frequency of the particle is `\pi s^(–1)`. If instead of the cosine function, we choose the sine function to describe the SHM : `x = B sin (ωt + α)`, what are the amplitude and initial phase of the particle with the above initial conditions.