Dot cancellation (holonomic constraints)

1. Dec 27, 2011

amiras

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?

2. Dec 28, 2011

JHamm

The position r is the generalised coordinate