Homework Aid: Cycloid Motion Chapter 13 13.2 Modeling Projectile Motion Homework Aid: Cycloid 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

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

Arc Length Along a Space Curve Chapter 13 13.3 Arc Length and the Unit Tangent Vector T Arc Length Along a Space Curve

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

Arc Length Along a Space Curve Chapter 13 13.3 Arc Length and the Unit Tangent Vector T Arc Length Along a Space Curve

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

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

Curvature of a Plane Curve Chapter 13 13.4 Curvature and the Unit Normal Vector N Curvature of a Plane Curve

Curvature of a Plane Curve Chapter 13 13.4 Curvature and the Unit Normal Vector N Curvature of a Plane Curve Example

Curvature of a Plane Curve Chapter 13 13.4 Curvature and the Unit Normal Vector N Curvature of a Plane Curve

Curvature of a Plane Curve Chapter 13 13.4 Curvature and the Unit Normal Vector N Curvature of a Plane Curve Example

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

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?

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

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 vector B = 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

Tangential and Normal Components of Acceleration Chapter 13 13.5 Torsion and the Unit Binormal Vector B Tangential and Normal Components of Acceleration

Tangential and Normal Components of Acceleration Chapter 13 13.5 Torsion and the Unit Binormal Vector B Tangential and Normal Components of Acceleration

Tangential and Normal Components of Acceleration Chapter 13 13.5 Torsion and the Unit Binormal Vector B Tangential and Normal Components of Acceleration Example

Tangential and Normal Components of Acceleration Chapter 13 13.5 Torsion and the Unit Binormal Vector B Tangential and Normal Components of Acceleration

Homework 3 Exercise 13.2, No. 7. Exercise 13.3, No. 5. 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.