Motion on a Submanifold

David Betounes ()
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David Betounes: University of Southern Mississippi, Mathematics Department

Chapter Chapter 10 in Differential Equations: Theory and Applications, 2001, pp 463-540 from Springer

Abstract: Abstract Interesting applications of Newton’s equations of motion occur when the motion of a particle in space is not free, but rather is constrained to lie on a given curve or surface. A typical example is the ball in the hoop (pendulum) in Example 5 from Chapter 1. A ball, subject only to gravity, rolls along inside a hollow tube bent into a circular shape of a hoop and the hoop is in a vertical plane. See Figure 10.1.

Keywords: Manifold; Sine; sinO; Ambi (search for similar items in EconPapers)
Date: 2001
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DOI: 10.1007/978-1-4757-4971-7_10

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