(a) Define simple harmonic motion and de...

(a) Define simple harmonic motion and derive, an expression for the period of simple harmonic motion by reference circle method.
(b) Derive an expression for the period of oscillations of a simple pendulum.

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The time period of simple harmonic motion depends upon

amplitude

energy

phase constant

mass

kinetic energy is minimum, potential energy is maximum

kinetic energy is maximum, potential energy is minimum

both kinetic and potential energies are maximum.

both kinetic and potential energies are minimum

`(d^(2)x)/(dt^(2))=-omega^(2)x`

`(d^(2)x)/(dt^(2))=-omega^(2)t`

`(d^(2)x)/(dt^(2))=-omegax`

`(d^(2)x)/(dt^(2))=-omegat`