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Dot cancellation (holonomic constraints)

  1. Dec 27, 2011 #1
    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. jcsd
  3. Dec 28, 2011 #2
    The position r is the generalised coordinate
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