SIMPLE HARMONIC MOTION

             Simple harmonic motion

If a body moves in a straight line such that it's acceleration is always directed towards a fixed point and is proportional to its distance from the fixed point, it is said to have"simple harmonic motion".                           

Simple harmonic motion is always oscillator . Periodic motion examples are the motion of the hands of a clock, motion of the wheels of a car etc. Simple harmonic motion examples are the motion of pendulum , motion of the spring etc. 

The time taken by the body for one complete oscillation is called time period ' T ' which is equal to 2π/ω ( ω = angular velocity ).                           The acceleration of a particle moving with simple harmonic motion is equal to the  ω^2y ( y = Distance from the mid point ). The velocity of particle moving with the  simple harmoni motion is -:

 V =  ω √ r^2 - y^2   , r = amplitude                     

The time period of simple pendulum is given by ,                                                                                   T = 2π √ l/g                                                         l = length of pendulum 

The motion of particle from one extremity to the other constitutes half an oscillations and called a beat. If a pendulum executes one beat per second or whose time period is the 2 seconds is called " second pendulum ".

For second pendulum,                                                          T = 2π √ l/g   = 2