Scleronomic constraint with explicit time dependence?

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Scleronomic constraints are a type of holonomic system characterized by their independence from explicit time dependence. While they do not change over time, the generalized coordinates (q) can still exhibit time dependence. This creates confusion regarding the nature of time dependence in scleronomic constraints, as some sources state they cannot have explicit time dependence. The clarification provided indicates that the time dependence relates to the Lagrangian rather than the constraints themselves. Understanding this distinction is crucial for grasping the dynamics of systems governed by scleronomic constraints.
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
 
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correction: the time dependence refers to the Lagrangian, which are under the scleronomic constrain in this case.
 
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