Vectors and Kinematics

Richard H. Enns and George C. McGuire
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Richard H. Enns: Simon Fraser University, Department of Physics
George C. McGuire: University College of the Fraser Valley, Department of Physics

Chapter Chapter 1 in Computer Algebra Recipes for Classical Mechanics, 2003, pp 11-48 from Springer

Abstract: Abstract In this introductory chapter, our recipes illustrate how Maple may be used to add and multiply vectors and how they may be manipulated in solving two-and three-dimensional kinematic problems. Although the LinearAlgebra library package could also be used to deal with vectors, in this chapter we shall exclusively employ the Vector Calculus package for this purpose. Using this latter package allows us to view the output vectors in terms of the unit vectors relevant to the chosen coordinate system as well as to perform such mathematical operations as the dot and cross products. Only Cartesian coordinates will be considered, other coordinate systems being explored in Chapter 3 along with the vector operators gradient, divergence, and curl.

Keywords: Resultant Force; Functional Operator; Close Approach; Free Fall; Vector Addition (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4612-0013-0_2

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DOI: 10.1007/978-1-4612-0013-0_2

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