vectors - adding two angle magnitude vectors contents: the basic concept step by step sample problem
TRANSCRIPT
Vectors - Adding two angle magnitude vectors
Contents:• The basic concept• Step by step• Sample problem
Vectors - AM + AM - Basics
TOC
A:B:
Suppose you had to add these two vectors
Vectors - AM + AM - Basics
TOC
A:
B:
Graphically you would place them tip to tail:
A + B
Vectors - AM + AM - Basics
TOC
A:
B:
The components of the sum are the sum ofthe components.
A + B
Vectors - AM + AM - Step 1
TOC
A:B:
Step 1: Break them into components
7
3
4
2
Vectors - AM + AM - Step 1
TOC
A:B:
Step 1: A = 3 x + 7 yB = 4 x + 2 y
7
3
4
2
Vectors - AM + AM - Step 2
TOC
A:B:
Step 2: A = 3 x + 7 yB = 4 x + 2 yA+B= 7 x + 9 y
7
3
4
2
Add like components
Vectors - AM + AM - Step 3
TOC
Step 3: A = 3 x + 7 yB = 4 x + 2 yA+B= 7 x + 9 y
Find the newAM vector
A + B
7
9
tan-1(9/7) = 52o
(72 + 92) = 11
8.19 , 120.o W
Add these two angle magnitude vectors, and express their sum as an angle magnitude vector. Draw the resultant vector, and find its trig angle.
48.0o
7.00
A B
9.00
78.0o
1. AM to VC AM to VC2. VC + VC3. AM to VC
A = 4.684 x + 5.202 yB = -8.803 x + 1.871 yA + B = -4.119 x 7.073 y