Physics 70 Principle of Least Action (14 of 27) The Harmonic Oscillator: Ex. 1

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We will use the Lagrangian to find the equation of motion of a mass attached to a mass-less spring across a frictionless surface.

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This Series is the best. Learning a lot new

thesilverscreen
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This problem surprised. Since you developed the Lagrangian and kinematic equations using the force of gravity, I assumed that was what it was based on; I didn't know that it worked for any other force such as a spring force.

paulcohen
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where is the rigorous proof that mx double dot + kx = 0 is equal to the cosine / sine function? how do I know that

prncxe