Physics

Chapter 5 Outline

Force in Two Dimensions

Overview - Graphical and analytical methods of vector addition.

Objective: - Students will be able to add vectors in one and two dimensions both graphically and analytically, find components of vectors at any angle in two dimensions.

Start Date: - February 14, 2001

Due Date: - February 22, 2001

Suggested Timeframe: - Study guides are due on Tuesday the 20th. Labs are on Friday and Tuesday. Homework Reviewing Concepts and Applying Concepts are due on Tuesday while the Problems are due on Wednesday the 21st. Test is Thursday the 22nd.

Assignment: - Graphical Method of Vector Addition:

-The resultant is the sum of two or more forces

-To add two vectors graphically, place the tail of the second vector at the head of the first vector

-The resultant of several concurrent vectors can be found by the same procedures used for adding two vectors

-Perpendicular components of vector quantities are independent of each other

Analytical Method of Vector Addition:

-Perpendicular vectors may be added analytically by using the Pythagorean relation and the definition of the tangent of an angle.

-A vector can be resolved into two perpendicular components

-Vectors at any angles may be added by finding their components, adding all the vertical and horizontal components separately, and then finding the resultant

Application of Vectors:

-When no net force acts on an object, it is in equilibrium

-The equilibrant is the single force that is equal in magnitude and opposite in direction to the resultant of several forces acting on a point. This produces equilibrium

-The weight of an object on an inclined plane can be resolved into two perpendicular components. One component, F(parallel), acts parallel to the plane; the other component, F (perpendicular) acts perpendicular to the plane.

Web Resources:

• Glenbrook has some good vector stuff
  Vectors, fundamental and operations

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