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Classical mechanics discusses the behaviour of macroscopic bodies under the influence of forces (without necessarily specifying the origin of these forces). If it's possible, USE MORE SPECIFIC TAGS like [newtonian-mechanics], [lagrangian-formalism], and [hamiltonian-formalism].

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Adiabatic Invariant in Variable Mass Oscillator

Suppose you have an harmonic oscillator whose mass is adiabatically changing such that $T\frac{dm}{dt}\ll m$ where $T$ is the period of the motion. It could for example be an ice ball slowly melting c …
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Adiabatic invariance regime

Consider a system executing a finite motion, described by its hamiltonian $H$ and characterized by some parameter $\lambda(t)$ being varied over time. Reading Landau & Lifshitz (Mechanics, paragraph 4 …
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Angular velocity of a cylinder rolling in another cylinder

I'm having troubles with the following problem: Consider a hollow cylinder of radius $2R$ which has a point of its rim fixed in an inertial frame and can rotate about this fixed point. Inside it there …
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