Thursday, May 2, 2019
Loaded Spring Oscillator, Hooke's Law Assignment
Loaded Spring Oscillator, Hookes Law - Assignment ExampleThe motion involves attachment of simple charitable oscillator to the spring with the other end on the wall or any other rigid protrude system. The oscillators motion is repetitive at eonian frequency hence periodic (Serway & Jewett, 2006 p 54). When the oscillator passes by the equilibrium its velocity is maximum and zero when passing through the extreme positions in its oscillation. The acceleration experience 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 push up acting on the mass. Displacement of the mass from equilibrium causes a restoring elastic force which obeys Hookes 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 commitment applied to it. This is referred to the Hookes Law of elasticity. The veridicals elastic limit is the maximum lading that when exceeded the material will not be able to gain its original form. Therefore, Hookes Law do not apply on the material. The elastic limit varies among the materials. The materials following Hookes 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 Hookes 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 seventeenth century hence its name Hookes Law. A spring of length L and cross-sectional compass 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 in extension when load is applied is regarded to have the sterling(prenominal) elastic force. Elasticity would be described in four ways compression, flexure or bending, reach or extension, torsion or twisting. Elasticity has ii main kinds namely elasticity by rule book and elasticity of form or shape. For example, elasticity of volume is mainly experienced by the gases and liquids. Elasticity of the two is considered perfect since when the load is applied or removed there is no lost of volume. Increase in temperature of the material would cause increased extension. Therefore, factors such as temperature are to be kept constant during the prove to ensure the results are not misleading. The graph is expected to be as shown below Figure 1 The springs are found to obey the Hookes law in combinations. Therefore the springs can be feature to cater for specific spring constant. For springs in series, the equivalent constant is equal to the following 1/K eq = 1/K1 + 1/K2 Therefore the equivalent spring constant is the reciprocal of the answer from above. If the springs are in match the equivalent spring constant is equal to the sum of the spring constants of the springs used. Keq = K1 + K2 The Apparatus The requirements for the experiment are the trade name springs, tensile. Mass hangers with slotted masses, 100g. Retort stand base, rod, boss and clamp. Short length of stiff wire to combine springs in parallel. G-clamp if the retort stand base is
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