# Tag Info

### Example of a system which has both rheonomic and conservative constraint?

Look at this example a mass is connected with a rod to a joint at point A. we move the point A with arbitrary function $~x(t)~$ the constraint equation is: $$g:=x(t)^2+y^2-L^2=0$$ this constraint ...
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### Example of a system which has both rheonomic and conservative constraint?

First of all, in my experience the only times I ever see the words "rheonomic" and "scleronomic" are in classical dynamics texts. In my world, anyway, they are not useful terms. ...
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### Example of a system which has both rheonomic and conservative constraint?

I am by no means sure that this is a type of the cases considered by the authors. Let us focus on a point of mass $m>0$ constrained to move along a frictionless straight line. This line stays in a ...
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### Example of a system which has both rheonomic and conservative constraint?

The Wikipedia article Rheonomous almost gives an example. A rheonomic constraint has an explicit time dependence. So a pendulum with a moving pivot has such a constraint. The example has the pivot ...
• 41.6k
Accepted

### Mathematical proof that viscous damping always diminishes energy

So this is a very standard thing that also happens in the work-energy theorem; we start with forces $\mathbf F_i$ and define the power that they exert through the trajectory $\mathbf r(t)$ as P_i=\...
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### Validity of $\mbox{d}H/\mbox{d}t=\partial H/\partial t$ for dissipative systems

I'll split my answer in some paragraphs: 1. Newton's mechanics in strong and weak forms; 2. Lagrangian mechanics; 3. Hamiltonian mechanics. 1.a Newton's mechanics: strong form. Newton's second ...
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