# Solution of the equation of motion of a spring mass system

Please see attached for question and diagram.

A certain engineering system can be represented by mass in a spring, as shown in Figure 1. If the mass is pulled downwards and then released, it oscillates on the spring. Using Newton's second law, a homogeneous second-order differential equation can be set up as below (see attached).

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#### Solution Summary

Oscillatory motion of a spring mass system is called Simple Harmonic Motion. I have solved the equation of motion of a oscillating spring mass system using the given boundary conditions.

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