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Unformatted text preview: 1 Motion on a Curve and Curvature This unit is based on Sections 9.2 & 9.3 , Chapter 9. All assigned readings and exercises are from the textbook Objectives : Make certain that you can define, and use in context, the terms, concepts and formulas listed below: 1. define curvilinear motion in terms of vectors. 2. solve problems relating to velocity, speed, acceleration, magnitude of the acceleration and angular momentum 3. solve initial value problems 4. find the curvature of a plane curve and space curve 5. find the radius of curvature of a plane curve at a given point. 6. solve practical problems Reading : Read Sections 9.2 & 9.3, pages 458-466. Exercises : Complete problems 2 Prerequisites Before starting this Section you should . . . 1. be familiar with the concept of scalar and vector functions 2. be familiar with differentiating and integrating vector functions 3. be familiar with curves and tangent vector Discussion in this section: First we present some examples of motion on a curve...
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This note was uploaded on 05/09/2010 for the course ENGR 233 taught by Professor S.samuelli during the Winter '10 term at Concordia Canada.
- Winter '10