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Chapter 2:
                      Force Vectors


Engineering Mechanics: Statics
Objectives

To show how to add forces and resolve them
into components using the Parallelogram Law.
To express force and position in Cartesian
vector form and explain how to determine the
vector’s magnitude and direction.
To introduce the dot product in order to
determine the angle between two vectors or
the projection of one vector onto another.
Chapter Outline

Scalars and Vectors
Vector Operations
Vector Addition of Forces
Addition of a System of Coplanar
Forces
Cartesian Vectors
Chapter Outline

Addition and Subtraction of
Cartesian Vectors
Position Vectors
Force Vector Directed along a Line
Dot Product

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6161103 2 force vectors

  • 1. Chapter 2: Force Vectors Engineering Mechanics: Statics
  • 2. Objectives To show how to add forces and resolve them into components using the Parallelogram Law. To express force and position in Cartesian vector form and explain how to determine the vector’s magnitude and direction. To introduce the dot product in order to determine the angle between two vectors or the projection of one vector onto another.
  • 3. Chapter Outline Scalars and Vectors Vector Operations Vector Addition of Forces Addition of a System of Coplanar Forces Cartesian Vectors
  • 4. Chapter Outline Addition and Subtraction of Cartesian Vectors Position Vectors Force Vector Directed along a Line Dot Product