Question

Under forced oscillation, what happens to the phase of the harmonic motion of the particle?

Answer 1

Hint: A periodic motion (as of a sounding bowed stringed instrument string or swinging pendulum) that encompasses a single frequency or amplitude or consists of 2 or additional such straightforward periodic motions.
Forced oscillations occur when an associate periodical system is driven by a periodic force that's external to the oscillating system.

Complete step-by-step solution:
Simple periodic movement, in physics, repetitive movement back Associate in Nursing forth through an equilibrium, or central, position, so that the most displacement on one aspect of this position is adequate the most displacement on the opposite aspect. The amount of every complete vibration is the same.
Under forced oscillation, the phase of the periodic movement of the particle differs from the section of the driving force.
Additional Information:
The velocity is the derivative of position, so there is a $\dfrac{\pi }{2}$ phase shift between position and velocity. At resonance (when $\omega = {\omega _0}$ ), velocity and the force and velocity are in phase.

Note: When a body oscillates by being suffering from an external periodic force, it's known as forced oscillation. Here, the amplitude of oscillation, experiences damping however remains constant due to the external energy equipped to the system. For instance, once you push somebody on a swing, you've got to stay sporadically pushing them so the swing doesn’t lessen.
In forced oscillation, the frequency of the damped oscillation is capable of the frequency of the applied external force.
The forced oscillation will face the damping result. However, the provision of external force leads to gaining the energy thereby maintaining constant amplitude.