Damped Harmonic Motion

Explain free and maintained oscillations

Differentiate between forced and maintained oscillations.

Explain the maintained oscillations? Give an example.

How you can demonstrate different types of oscillations?

Differentiate between damped and undamped oscillations

In which  case the amplitude of oscillations becomes too large?

Describe briefly the types of oscillations:

Explain why simple motion of pendulum stop after some time?

Explain Maintained Oscillations.

Name different types of oscillations.

Define damped harmonic motion.

Compare the effect of damping on the resonance vibration of sonometer and of the air column.

A damped oscillator consists of a spring-mass system with mass $2 \mathrm{kg}$ and spring of spring constant $10 \mathrm{N} {\mathrm{m}}^{-1}$. The damping force is given by $F=-b\left(\frac{\mathrm{d}x}{dt}\right)$ where $b=280 \mathrm{g} {\mathrm{s}}^{-1}.$ The time required for the amplitude of the oscillations to reduce to one-fourth ${\left(\frac{1}{4}\right)}^{th}$ of its initial value is: (Assume $\ln 2=0.7$)

In an experiment to find the loss of energy with respect to time in the case of a swinging simple pendulum, the graph between the square of amplitude and time is best represented by

The amplitude of damped oscillator becomes $\frac{1}{3}\mathrm{rd}$ of the original in $2 \mathrm{s}$. Its amplitude after $6 \mathrm{s}$ is $\frac{1}{n}$ times the original. Then, $n$ is equal to,

The amplitude of a damped oscillator becomes ${\left(\frac{1}{3}\right)}^{\mathrm{rd}}$ in $2 \mathrm{s}$. If its amplitude after $6 \mathrm{s}$ is $\frac{1}{n}$ times the original amplitude, the value of $n$ is

A simple pendulum after some time becomes slow in motion and finally stops due to

The equation  $\frac{d^{2}y}{{\mathit{\text{dt}}}^2}+\frac{\mathit{\text{bdy}}}{\mathit{\text{dt}}}+{\omega }^{2}y=0$ represents the equation of motion for a