About this Video
In this session, we solve problems involving harmonic oscillators with several degrees of freedom—i.e., several discrete oscillators which are coupled or interconnected to each other. Only systems where damping can be ignored are considered.
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- Coupled Oscillators without Damping (00:53:02)
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- Three masses connected by two ideal springs. The system has a high degree of symmetry and the normal modes are found by inspection. (0:23:45)
- "The double pendulum." In this case, the two normal modes cannot be found by inspection. The problem is solved analytically. (0:27:33)
Three masses connected by two ideal springs. The system has a high degree of symmetry and the normal modes are found by inspection.
"The double pendulum." In this case, the two normal modes cannot be found by inspection. The problem is solved analytically.