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Chapter 13. 13.2 Modeling Projectile Motion. Homework Aid: Cycloid Motion. Chapter 13. 13.2 Modeling Projectile Motion. The Vector and Parametric Equations for Ideal Projectile Motion. Chapter 13. 13.2 Modeling Projectile Motion.
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Chapter 13 13.2 Modeling Projectile Motion Homework Aid: Cycloid Motion
Chapter 13 13.2 Modeling Projectile Motion The Vector and Parametric Equations for Ideal Projectile Motion
Chapter 13 13.2 Modeling Projectile Motion The Vector and Parametric Equations for Ideal Projectile Motion • Example
Chapter 13 13.3 Arc Length and the Unit Tangent Vector T Arc Length Along a Space Curve
Chapter 13 13.3 Arc Length and the Unit Tangent Vector T Arc Length Along a Space Curve • Example
Chapter 13 13.3 Arc Length and the Unit Tangent Vector T Arc Length Along a Space Curve
Chapter 13 13.3 Arc Length and the Unit Tangent Vector T Speed on a Smooth Curve, Unit Tangent Vector T
Chapter 13 13.3 Arc Length and the Unit Tangent Vector T Speed on a Smooth Curve, Unit Tangent Vector T • Example
Chapter 13 13.4 Curvature and the Unit Normal Vector N Curvature of a Plane Curve
Chapter 13 13.4 Curvature and the Unit Normal Vector N Curvature of a Plane Curve • Example
Chapter 13 13.4 Curvature and the Unit Normal Vector N Curvature of a Plane Curve
Chapter 13 13.4 Curvature and the Unit Normal Vector N Curvature of a Plane Curve • Example
Chapter 13 13.4 Curvature and the Unit Normal Vector N Curvature and Normal Vectors for Space Curves
Chapter 13 13.4 Curvature and the Unit Normal Vector N Curvature and Normal Vectors for Space Curves • Example • Effects of increasing a or b? • Effects on reducing a or b to zero?
Chapter 13 13.4 Curvature and the Unit Normal Vector N Curvature and Normal Vectors for Space Curves • Example
Chapter 13 13.5 Torsion and the Unit Binormal Vector B Torsion • As we are traveling along a space curve, the Cartesian i, j, and k coordinate system which are used to represent the vectors of the motion are not truly relevant. • Instead, it is more meaningful to know the vectors representative of our forward direction (unit tangent vector T), the direction in which our path is turning (the unit normal vector N), and the tendency of our motion to twist out of the plane created by these vectors in a perpendicular direction of the plane (defined as unit binormal vectorB = T N).
Chapter 13 13.5 Torsion and the Unit Binormal Vector B Torsion
Chapter 13 13.5 Torsion and the Unit Binormal Vector B Torsion
Chapter 13 13.5 Torsion and the Unit Binormal Vector B Torsion
Chapter 13 13.5 Torsion and the Unit Binormal Vector B Tangential and Normal Components of Acceleration
Chapter 13 13.5 Torsion and the Unit Binormal Vector B Tangential and Normal Components of Acceleration
Chapter 13 13.5 Torsion and the Unit Binormal Vector B Tangential and Normal Components of Acceleration • Example
Chapter 13 13.5 Torsion and the Unit Binormal Vector B Tangential and Normal Components of Acceleration
Chapter 13 13.5 Torsion and the Unit Binormal Vector B Homework 3 • Exercise 13.2, No. 7. • Exercise 13.3, No. 5. • Exercise 13.3, No. 12. • Exercise 13.4, No. 3. • Exercise 13.4, No. 11. • Exercise 13.5, No. 12. • Exercise 13.5, No. 24. • Due: Next week, at 17.15.