Question

What are damped oscillations? What are the factors affecting its motion?

Answer 1

Answer:

In classical mechanics, a harmonic oscillator is a system that, when displaced from its equilibriumposition, experiences a restoring force F proportionalto the displacement x:

{\displaystyle {\vec {F}}=-k{\vec {x}},}

where k is a positive constant.

If F is the only force acting on the system, the system is called a simple harmonic oscillator, and it undergoes simple harmonic motion: sinusoidaloscillations about the equilibrium point, with a constant amplitude and a constant frequency (which does not depend on the amplitude).

If a frictional force (damping) proportional to the velocity is also present, the harmonic oscillator is described as a damped oscillator. Depending on the friction coefficient, the system can: