Report On Finally, An Object Is Undergoing Simple Harmonic Motion (Shm) If;

Abstract.

We often deal with periodic (or nearly periodic) processes in technology and the world around us that are repeated at regular intervals. Such processes are called oscillatory. Oscillatory phenomena of different physical nature are subject to the general laws. For example, the current fluctuations in the electrical circuit and the oscillation of a simple pendulum can be described by the same equations. Unity of the vibrational patterns of oscillatory processes allows us to consider a different nature from a unified point of view.
Mechanical vibrations are called periodic (or nearly periodic) change of a physical quantity that describes the mechanical movement (velocity, displacement, kinetic and potential energy etc).
If at any point of the medium in which the closely spaced atoms or molecules undergo a physical impact, starting the process of mechanical vibrations, this process will be a finite rate, which depends on the properties of the medium to spread from one point to another. There are many forms of oscillation in the real world - oscillations determine the sound of a musical instrument, the colour of a rainbow, the ticking of a clock and even the temperature of a cup of tea. A mechanical oscillation is a repeating movement - an electrical oscillation is a repeating change in voltage and current. This demonstrates the unity of the material world. (Salford Unoversity)
Along with the translational and rotational motions of bodies in the mechanics, vibrational motion create interest as well. Mechanical vibrations are called the motion of bodies, repeating exactly (or approximately) at regular intervals. Law of motion of a body vibrating, is given by a periodic function of time x = f (t). Graphic representation of this function gives a visual representation of the flow of the oscillatory process in time. Examples of simple oscillatory systems can serve as the load on the spring or mathematical pendulum.

the acceleration of the object is directly proportional to  its displacement from its equilibrium position.
the acceleration is always directed towards the equilibrium position. (Physicsnet)

Introduction.

Fluctuations play an important role in many physical phenomena outside the field of mechanics. For example, the voltage and current in electric circuits may fluctuate. Biological oscillations can serve as examples of heartbeats, arterial pulse and the production of sound vocal cords.
Although the physical nature of oscillating systems can differ substantially, various types of oscillations can be characterized quantitatively similar manner. Physical quantity that varies with the time when the vibrational motion is called displacement. The amplitude is the maximum displacement of a vibrating object from its equilibrium position. Full wave or cycle - a movement in which the body, derived from the equilibrium position at some amplitude returns to this position deviates to the maximum displacement in the opposite direction and returns to its original position. The period of oscillation T - time required for one complete cycle. The number of oscillations per unit of time - is frequency of oscillations.
Some of the bodies (in their tension or compression forces) oppose these processes. These forces are directly proportional to the length of the tension or compression. This property is possessed spring. When the body hanging from a spring is deflected from its equilibrium position and then released, its motion is simple harmonic motion.

Works Cited

Physicsnet. "Simple Harmonic Motion (SHM) – Frequency, Acceleration, Displacement, Velocity, SHM Graphs, Time Period, Mass-spring System, Pendulum, Energy." N.p., 2013. Web. 22 Feb. 2015.