# Questions tagged [oscillators]

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### Lagrangian for nonlinear small oscillations

My original Lagrangian is this, but I want to obtain nonlinear terms considering small oscillations : $$L = ma^2[\dot \theta^2(1+ 2\sin^2\theta) + \Omega^2\sin^2\theta + 2\Omega_0\cos\theta] .$$ ...
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### What is the frequency of the oscillation? [closed]

Cheap shock absorbers in cars don't absorb energy and oscillate too long. Take for instance an ideal spring shock absorber that is set up in a vertical position for a 1100.00 kg car. When you, 900.00 ...
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### Is gravitational Force is damping force in vertical mass-spring system of constant k in Simple Harmonic motion

When a block of mass m is suspended by vertical spring system,it for sure perform SHM in the absence of damping force,only force which act on the system is internal which is -kx, where k is spring ...
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### Expression for total potential energy in coupled systems

I was reading through applications of Lagrangian mechanics and the case of coupled oscillators. The example provided is the famous two pendula length $l$ mass $m$ hanging from the ceiling connected by ...
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### Why fields are solutions of waves equations?

This could be extremely trivial but I am having problems figuring it out. I think I understand properly the difference between waves and fields. A field is a function valued on space or spacetime ...
Consider a non-relativistic point particle of mass $m$ in 1D under the action of only conservative forces. Then by Newton's second law, the equation of motion is $$m\ddot{x}(t)=-U'(x(t)).$$ Now, do ...