The motion of a particle executing simple harmonic motion isdescribed

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

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

Answer»

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 conditions.

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