PHYExperiment 13

# Simple harmonic motion is defined as a type of motion

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Simple harmonic motion is defined as a type of motion related to a mass on a spring when it is subject to the linear elastic restoring force given by Hooke's Law. Hooke’s law states that Force acting on an object by a spring is directly proportional to the distance extended by the spring and it can be represented as a simple linear mathematical equation: F=kx; x meaning the distance extended by the spring. The motion is sinusoidal in time and demonstrates a single resonant frequency. The frequency of simple harmonic motion like a mass on a spring is determined by the mass m and the stiffness of the spring expressed in terms of a spring constant k. In this case, the experiment was carried out in two parts; static and dynamic. In the Simple Harmonic Motion, the spring constant is supposed to remain the same since the same spring was used for both experiments. A spring can only have one spring constant. To compare two numbers when each has an error margin, follow the steps in Appendix C. Find d which is ABS (Number1-Number2). Then find σ d using the percent errors in each number. If d is smaller than σ d, then the result gotten is within the acceptable error.

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