1.Define Simple Harmonic Motion (SHM) and write its standard differential equation $\frac{d^2x}{dt^2} + \omega^2 x = 0$.
2.Derive the time period of a Simple Pendulum $T = 2\pi\sqrt{\frac{L}{g}}$.
3.Derive expression for Kinetic Energy, Potential Energy, and Total Energy of a particle executing SHM.