Coupled Oscillations

[SPS Shortcourse]

Lecture-5:

This lecture introduces Lagrangian mechanics after finishing off a few subtle issues with linear algebra; then, we move forward with Oscillations!! The presentation is here.

Some notes include:

Two masses connected by a spring (as in Central Force Problem)

Two masses connected by a spring (direct method)

note: the two solutions are the same, of course. Yet, the symbols might not have the same meaning, especially what I mean by "x"!!

My scribbles are here: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10

Next class, we will start discussing the two coupled masses connected to walls.

Relevant Web-sites:

Mathematica Codes:

Mixing matrix elements through multiplication, A¹⁰, Lissajous

Comments:

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last up-dated: Rabi-I, 1433