Vectors - Adding two angle magnitude vectors Contents:

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Presentation transcript:

Vectors - Adding two angle magnitude vectors Contents: The basic concept Step by step Sample problem

Vectors - AM + AM - Basics Suppose you had to add these two vectors

Vectors - AM + AM - Basics A + B A: Graphically you would place them tip to tail:

Vectors - AM + AM - Basics A + B A: The components of the sum are the sum of the components.

Vectors - AM + AM - Step 1 Step 1: Break them into components B: A: 7 3 B: A: 4 2 Step 1: Break them into components

Vectors - AM + AM - Step 1 Step 1: A = 3 x + 7 y B = 4 x + 2 y B: A: 7

Vectors - AM + AM - Step 2 Step 2: A = 3 x + 7 y Add like B: A: 4 2 Step 2: A = 3 x + 7 y B = 4 x + 2 y A+B= 7 x + 9 y Add like components

Vectors - AM + AM - Step 3 Step 3: A = 3 x + 7 y Find the new A + B (72 + 92) = 11 9 tan-1(9/7) = 52o 7 Step 3: A = 3 x + 7 y B = 4 x + 2 y A+B= 7 x + 9 y Find the new AM vector

A B 1. AM to VC AM to VC 2. VC + VC 3. AM to VC A = 4.684 x + 5.202 y B = -8.803 x + 1.871 y A + B = -4.119 x 7.073 y 7.00 78.0o 48.0o 9.00 Add these two angle magnitude vectors, and express their sum as an angle magnitude vector. Draw the resultant vector, and find its trig angle. 8.19 , 120.o