Question

Obtain the differential equations of linear simple harmonic motion

Answer 1

There are many equations to describe simple harmonic motion. The first we're going to look at, below, tells us that the time period of an oscillating spring, T, measured in seconds, is equal to 2pi times the square-root of m over k, where m is the mass of the object connected to the spring measured in kilograms, and k is the spring constant (a measure of elasticity) of the spring. The time period is the time it takes for an object to complete one full cycle of its periodic motion, such as the time it takes a pendulum to make one full back-and-forth swing.





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