Vector Addition of Forces in 2-D Using Cartesian Coordinates - Engineering Statics (L02-1)

Introduction to vector addition of forces in 2-D using Cartesian coordinates with two examples. The examples will show you how to calculate the resultant force using a scalar approach and a vector approach.
0:00 Lesson Overview and Objective
1:00 Explanation of Cartesian Coordinate System
1:43 Resultant Force in Cartesian Components
3:00 Expressing Resultant Force Magnitude and Direction
3:36 Ex. 1 - Introduction
4:16 Ex. 1 - Establishing Coordinate System
4:35 Ex. 1 - Break-up Vectors into Components
5:35 Ex. 1 - Scalar Approach - Sum Forces in x and y
7:19 Ex. 1 - Calculate Magnitude and Direction of Resultant
8:52 Ex. 1 - Vector Approach - Write Vectors in Cartesian Form
9:52 Ex. 1 - Sum Vectors to Calculate Resultant
11:10 Ex. 2 - Introduction
11:23 Ex. 2 - Schematic
11:53 Ex. 2 - Establishing Coordinate System
12:37 Description of General Problem Solving Approach
13:07 Ex. 2 - Break-up vectors into components
13:37 Explaining and Using 3-4-5 RT triangle to break-up into components
16:43 Ex. 2 - Scalar Approach - Sum forces in x and y
17:09 Ex. 2 - Calculate Magnitude and Direction of Resultant