Resonance in Mechanical Systems

State whether the given statement is true or false.

Simple harmonic motion is typified by the oscillation of a mass on a spring when it is subject to the linear elastic restoring force given by Hooke$\text{'}$s law.

Explain how study of simple harmonic motion helps in understanding some other complex concepts of physics.

The application where one would most likely find a crystal oscillator is?

List any two uses of oscillations and explain them.

Explain critically damped, over damped, and under damped systems with an example.

What is critical damping? Give one example where critical damping is used.

The Barton$\text{'}$s pendulum is an example of$:$

Explain the construction and working of Barton$\text{'}$s pendulum.

A mass $\mathrm{m}$ is suspended one by one by two springs of force constants ${\mathrm{k}}_1, {\mathrm{k}}_2$. The time periods of their oscillations are ${\mathrm{T}}_1 \mathrm{and} {\mathrm{T}}_2$ respectively. If the same mass be suspended by connecting the two springs in parallel then the time period of oscillations is $\mathrm{T}$.The correct relation is:

The time period for small vertical oscillations of a block of mass $\mathrm{m}$ when the masses of the pulleys are negligible and spring constant ${\mathrm{k}}_1$ and ${\mathrm{k}}_2$ is

Cotyledons are also called-