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I started to read Analytical Mechanics. It said that if holonomic constraints are defined as:
r = r(q1, q2, ... qn, t) (or without time)
This equation holds (dot cancellation):
∂r'/∂q_k' = ∂r/∂q_k
where ' specified derivatives.
And the question was given to check if it works for two simple examples:
1) a mass sliding without friction down a stationary inclined plane
2) the rotating bead on a wire
So if we talk about 1) I should express the position r with some generalized coordinate?
r = r(q1, q2, ... qn, t) (or without time)
This equation holds (dot cancellation):
∂r'/∂q_k' = ∂r/∂q_k
where ' specified derivatives.
And the question was given to check if it works for two simple examples:
1) a mass sliding without friction down a stationary inclined plane
2) the rotating bead on a wire
So if we talk about 1) I should express the position r with some generalized coordinate?