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3 years ago

Simple Harmonic Motion

Physics

1 answer:

Delvig [45]3 years ago

7 0

- The net force is greatest at the position of maximum displacement

- The net force is zero when at the equilibrium position

Explanation:

The motion of a spring is a Simple Harmonic Motion, in which the displacement of the end of the spring is given by a periodic function of the form

$x=Asin (\omega t)$

where A is the amplitude (the maximum displacement), and $\omega$ the angular frequency of the motion.

We can analyze the net force acting on the spring by looking at Hooke's law:

$F=kx$

where

F is the net force

k is the spring constant

x is the displacement

From the equation, we notice immediately that:

The net force is the greatest when the displacement x is the greates, so at the position in which the spring has maximum compression or stretching
The net force is zero when the displacement x is zero, so when the spring crosses the equilibrium position

Learn more about forces:

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