Steps
- Find the equation of motion for an object attached to a Hookean spring. ...
- Set up the differential equation for simple harmonic motion. ...
- Rewrite acceleration in terms of position and rearrange terms to set the equation to 0. ...
- Solve for the equation of motion. ...
- Simplify.
What is the formula for harmonic motion?
That is, F = −kx, where F is the force, x is the displacement, and k is a constant. This relation is called Hooke's law. A specific example of a simple harmonic oscillator is the vibration of a mass attached to a vertical spring, the other end of which is fixed in a ceiling.
How do you calculate oscillation?
Section Summary
- Periodic motion is a repetitious oscillation.
- The time for one oscillation is the period T.
- The number of oscillations per unit time is the frequency f.
- These quantities are related by f=1T f = 1 T .
