Vibrations and Waves Problem Solving MIT

 Science
This collection includes ten videos to help students learn how to approach and solve problems related to Physics III: Vibrations and Waves. The OCW website also includes sample problems for students to solve and insights for educators on how to help students approach to problem solving.
*NOTE: These videos were originally produced as part of a physics course that is no longer available on OCW.*

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Session 1: Simple Harmonic Motion & Problem Solving Introduction
We discuss the role problem solving plays in the scientific method. Then we focus on problems of simple harmonic motion ̶ harmonic oscillators with one degree of freedom in which damping (frictional or drag) forces can be ignored.

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Session 2: Harmonic Oscillators with Damping
In this session, we extend the solution of the motion of oscillators with one degree of freedom without damping to the case where damping can no longer be ignored.

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Session 3: Driven Harmonic Oscillators
First, advice on how, in general, one approaches the solving of "physics problems." Then three very different oscillating systems, and how in each the equations of motion can be derived and solved to obtain the motion of the oscillator.

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Session 4: Coupled Oscillators without Damping
In this session, we solve problems involving harmonic oscillators with several degrees of freedom ̶ i.e., several discreet oscillators which are coupled or interconnected to each other. Only systems where damping can be ignored are considered.

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Session 5: Traveling Waves without Damping
Discussion of systems with infinite number of degrees of freedom, in particular where the oscillators are identical, harmonic, and connected only to their neighbors. Examples include a taut string and a transmission line (two parallel conductors).

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Session 6: Standing Waves Part I
Continued discussion of systems with infinite degrees of freedom, where oscillators are identical, harmonic, connected only to their neighbors, and the solution to the wave equation is described as the superposition of normal modes (Fourier analysis).