A level Simple Harmonic Motion Quiz. In mechanics and physics, simple harmonic motion is a special type of periodic motion where the restoring force on the moving object is directly proportional to the object's displacement magnitude and acts towards the object's equilibrium position. It results in an oscillation which, if uninhibited by friction or any other dissipation of energy, continues indefinitely.
Simple harmonic motion can serve as a mathematical model for a variety of motions, but is typified by the oscillation of a mass on a spring when it is subject to the linear elastic restoring force given by Hooke's law. The motion is sinusoidal in time and demonstrates a single resonant frequency. Other phenomena can be modeled by simple harmonic motion, including the motion of a simple pendulum, although for it to be an accurate model, the net force on the object at the end of the pendulum must be proportional to the displacement (and even so, it is only a good approximation when the angle of the swing is small; see small-angle approximation). Simple harmonic motion can also be used to model molecular vibration as well.
Simple harmonic motion provides a basis for the characterization of more complicated periodic motion through the techniques of Fourier analysis.
In SHM of a simple pendulum, the component of weight which is directed towards mean position is
The time period of simple pendulum 1 m long at a location where g=10ms-1 will be
If 100 waves pass through a medium in 20seconds and their wavelength is 6cm then the velocity is
If potential energies and kinetic energies are equal then displacement of an object in SHM is
If a simple pendulum is 1.0 m long and force of gravity acting on it is 10.0 ms-2, then it's time period and frequency are