Physics 3151A/B Lecture 10: Coupled_Oscillations

• School: Western University
• Department: Physics
• Course: Physics 3151A/B
• Professor: Martin Houde

Document Summary

Coupled oscillations (most of the material presented in this chapter is taken from thornton and marion, chap. In chapter 2, we studied systems that exhibit oscillations in their response, either naturally or when driven by an external force. We now generalized the problem to include situations where not only multiple oscillation modes or frequencies are possible, but also when there are interactions amongst the different oscillating components of a given system. This leads us to the study of the more complicated topic of coupled oscillations. 10. 1 a simple example two coupled oscillators. We consider the problem of two particles of similar mass m connected by a spring of constant ! 12 , and further each particle connected to fixed points with springs of constant. The motion of particles is restricted to direction along the x-axis , so the system has two degrees of freedom x.