Any motion which replaces it after regular interval of time is called periodic or harmonic motion.
When the body of a pendulum moves to and fro through a short angle, the bob is called move simple harmonically. Current can be considered simple harmonic due to simple harmonic vibrations of electric and magnetic forces. In part of periodic motion, force is always directed towards a fixed point which may or may not be on the way of motion. Simple harmonic motion is closely associated with circular rotation. An example is shown below. This explains an arrangement used to convert circular motion of a stone D into the to and fro or simple harmonic motion of a point P.
If a particle in periodic motion moves back and forth (or to and fro) over the similar path, then its motion is known as vibratory or oscillatory. The examples of vibratory or oscillatory motion are:
1. The motion of a pendulum.
2. The motion of a spring fixed at one side, which is compressed or stretched and then released.
3. The motion of a violin string.
4. The motion of atoms in molecules or in a solid lattice.
5. The motion of air molecules as sound wave passes by.
Important points regarding SHM:
1. Particle moves in straight line and the motion is periodic
2. The acceleration of particle is always proportional to the displacement from the equilibrium position and always directed towards a fixed point.
3. The work of the force is to bring particle in its equilibrium position and generally it is called restoring force.
4. In case of simple harmonic motion, the time period is independent of amplitude.
5. The necessary and sufficient condition for a motion to be simple harmonic is that the restoring force must be linear.
6. Every motion can be resolved into a number of simple harmonic motion with the help of Fourier analysis .i.e. any number of simple harmonic motion can be combined to give the resultant motion.
Conditions of Simple Harmonic Motion
For SHM to occur, three conditions must be satisfied.
1. There must be a position of stable equilibrium.
At the equation in equilibrium potential energy is minimized.
That is, 
2. There must be no dissipation of energy.
3. The acceleration is proportional to the displacement and opposite in direction.
That is 
,
SHM and g: If a small coin is placed on a horizontal platform connected to a vibrator and the amplitude is kept constant as the frequency is increased from zero, the face will be heard chattering at a particular frequency fo. At this stage the reaction of the platform with the coin becomes zero at some part of every turn, so that it replaces contact periodically with the surface.
The maximum acceleration in SHM occurs at the end of the oscillation because the acceleration is directly proportional to the displacement. This maximum acceleration is w2r, where r is the amplitude and w is 2∏fo.
The coin will lose contact with the surface when it is moving down with acceleration g.
Email based Physics assignment help - homework help at Expertsmind
Are you searching physics expert for help with Simple Harmonic Motion questions? Simple Harmonic Motion topic is not easier to learn without external help? We at www.expertsmind.com offer finest service of Physics assignment help and physics homework help. Live tutors are available for 24x7 hours helping students in their Simple Harmonic Motion related problems. We provide step by step Simple Harmonic Motion question's answers with 100% plagiarism free content. We prepare quality content and notes for Simple Harmonic Motion topic under physics theory and study material. These are avail for subscribed users and they can get advantages anytime.
Why Expertsmind for assignment help
- Higher degree holder and experienced experts network
- Punctuality and responsibility of work
- Quality solution with 100% plagiarism free answers
- Time on Delivery
- Privacy of information and details
- Excellence in solving physics queries in excels and word format.
- Best tutoring assistance 24x7 hours