Scleronomic constraint with explicit time dependence?

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SUMMARY

Scleronomic constraints are a type of holonomic system characterized by their independence from explicit time dependence. While they do involve time-dependent variables, such as the generalized coordinates (q), the constraints themselves do not change with time. This distinction is crucial in understanding the nature of scleronomic constraints, particularly in the context of Lagrangian mechanics, where the Lagrangian remains invariant under these constraints. The confusion often arises from the interplay between time dependence in dynamic variables and the constraints themselves.

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kokolovehuh
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Hi all,
I was having a bit difficulty understanding the term scleronomic constraint.
From what I have read, it is a type of holonomic system(which means there is time dependence). However, the difference between the two types(scleronomic and rheonomic), is that although scleronomic constraint is independent of time there is still time dependence in q(generic dynamic variable). This leads me to think that there is an explicit time dependence in that type of constraint. Yet, from what I read from a book, it says scleronomic constraint cannot have explicit time dependence. How is this the case?

Regards

Owen
 
Physics news on Phys.org
correction: the time dependence refers to the Lagrangian, which are under the scleronomic constrain in this case.
 

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