
College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Transcribed Image Text:Vector Addition Template - Problem 2
Equations for Vector Components:
Polar to Rectangular
Rectangular to Polar
Az = A cos e
A, = A sin e
2
2
R =
Rx + Ry
-1(Ry
R
e = tan
Rx = Ax + Bx + ·
...
Ry = Ay + By +.
...
Summary of Results:
Name
Magnitude
Angle
Reference
X-component
Y-component
Angle
A
10 m
30°
в
15 m
60°
Resultant (R)
Vector Diagrams:

Transcribed Image Text:Vector Addition Template - Problem 1
Equations for Vector Components:
Polar to Rectangular
Rectangular to Polar
Ax = A cos e
A, = A sin e
R² + R,²
2
R =
0 = tan
Rx = Ax + Bx + .….
Ry = Ay + By +.….
Summary of Results:
Name
Magnitude
Angle
Reference
X-component
Y-component
Angle
A
10 m
0°
В
15 m
90°
Resultant (R)
Vector Diagrams:
Expert Solution

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Step 1
1)
A = 10 m
B = 15 m
Let, the angle given in the question be with respect to positive x-axis.
x-component of vector A = 10Cos(0) = 10 m
y-component of vector A = 10Sin(0) = 0
similarly,
x-component of vector B = 15Cos(90) = 0
y-component of vector B = 15Sin(90) = 15 m
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