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Stability


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Oscillations involving rotation


Equations are omitted for technical reasons - download the original pdf

If the displacement from stable equilibrium is given in terms of the value of an angle rather that linear displacement you can still use the energy method to find the period of oscillation. However to do so, you need to be able to express kinetic energy in terms of angle.
Contents of
Stability

1 Stability and Oscillations
2 Stability of the Equilibrium
3 Small Oscillations about an equilibrium position
4 Use of the second derivative of potential energy.
5 Oscillations involving rotation

Related articles: (1) Simple harmonic motion and springs, (2)