Answer to Question #172164 in Physics for Joshua Musyoki

Question #172164


2. i. Define simple harmonic motion

iii. Show that a mass, m, hung on a spring of spring constant, k, when


1
Expert's answer
2021-03-17T16:55:29-0400

In simple harmonic motion, the acceleration of the system, and therefore the net force, is proportional to the displacement and acts in the opposite direction of the displacement.

A good example of SHM is an object with mass m attached to a spring on a frictionless surface The object oscillates around the equilibrium position, and the net force on the object is equal to the force provided by the spring. This force obeys Hooke’s law.


a+ω2x=0x=Acos(ωt+ϕ)a+\omega^2x=0\\x=A\cos{(\omega t+\phi)}

Where


ω=km\omega=\sqrt{\frac{k}{m}}


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