Hookes Law

Overview


The physics corner demonstrates code that is developed to demonstrate the basics principles of physics.

Force Law - Spring


A simple example of Newtons force law is the force exerted by a spring on a mass. We assume that the mass is sitting (frictionless) on the x - axis. That is, it is sitting on a frictionless plane and free to move in a single direction, which we label the x-axis. It is attached to a spring, whcih we assume exerts no force when the mass is at x=0. When the spring is extended or compressed, it exerts a force
{% F = -k \times x %}
That is to say
{% m \times d ^2 x(t) / dt ^2 = -k \times x %}
we are assuming here a unit mass.
{% x(t) = cos ( \omega t ) %}

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