High School Physics/Simple Oscillation
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[edit] Simple Oscillation
For a simple oscillator consisting of a mass m to one end of a spring with a spring constant s, the restoring force, f, can be expressed by the equation

where displacement is the displacement of the mass from its rest position. Substituting the expression for f into the linear momentum equation,

where a is the acceleration of the mass, we can get

or,

Note that

To solve the equation, we can assume

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