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Simple Harmonic Motion (SHM) - Coggle Diagram
Simple Harmonic Motion (SHM)
Periodic motion
When a body repeats its motion continuosly on a definite path in a definite interval of time, then itd motion is called periodic motion and the interval of time is called time period.
Harmonic motion
The harmonic oscillation of a contstant amplitude and a single frequency is called simple harmonic motion.
When a particle moces in a straight line to and fro about its equilibrium position such that the force acting upon it is always ditectlu proportional to its displacement and directed towards the equilibrium position, then the motion of the particle is called simple harmonic motion.
OR
Harmonic oscillation is that oscillation which can be expressed in terms of simple harmonic functions, i.e. sine and cosine functions.
Oscillatory motion
If body in periodic motion moves to and fro about a definite point then the motion of the body is an oscillatory motion.
Conditions for linear SHM
THe restoring force actingon the particle should always be proportional to the displacement of the
The force should always be directed towards that point.
The motion of the particle should be in a straight line to and fro about a fixed point
Properties of SHM
Time period
The time taken to complete one oscillation is called time period
Frequency
The number of oscillations completed in one second is called the frequency.
Amplitude
The maximum displacement is called the amplitude.
Phase
The phase of a vibrating particle at any instant expresses the position and direction of motion of the particle at that instant
Total energy
At equilibrium position, the potential energy of the particle is zero while the kinetic energy is maximum and is equal ti the total energy.
At extreme positions, the kinetic energy of the particle is zero while the potential energy is maximu and equal to the total energy.