The motion involves attachment of simple harmonic oscillator to the spring with the other end on the wall or any other rigid support system. The oscillator’s motion is repetitive at constant frequency hence periodic (Serway & Jewett, 2006 p 54). When the oscillator passes through the equilibrium its velocity is maximum and zero when passing through the extreme positions in its oscillation. The acceleration experienced by the oscillator is proportional to the negative of its displacement from the midpoint of its motion. A system in equilibrium and at rest has no net force acting on the mass. Displacement of the mass from equilibrium causes a restoring elastic force which obeys Hooke’s to be exerted by the spring. The restoring force F, is found by multiplying the spring constant K, to the displacement from equilibrium x; F=-Kx.
The extension of a spring is directly proportional to the load applied to it. This is referred to the Hooke’s Law of elasticity. The material’s elastic limit is the maximum load that when exceeded the material will not be able to gain its original form. Therefore, Hooke’s Law do not apply on the material. The elastic limit varies among the materials. The materials following Hooke’s Law are known as Hookean materials or linear elastic materials. The materials regain their original form after deformation by the load on it. In the formulae used to determine Hooke’s Law a negative sign is added because the restoring force acts in an opposite direction of displacement. The formula was stated by Robert Hooke, a British physicist in the 17th century hence its name; Hooke’s Law. A spring of length L and cross-sectional area A, is considered a linear elastic material since its extension is linearly proportional to tits tensile stress by a constant. Materials such as rubber are regarded as non-linear or non-Hookean since the load is not proportional to the extension that occurs. The material changing least