Vector Addition Template – Problem 1 Equations for Vector Components: Polar to Rectangular Rectangular to Polar A, = A cos 0 Ay = A sin 0 R = R,² + R,² 0 = tan %3D Rx = Ax + Bỵ + ... Ry = Ay + By + … Summary of Results: Magnitude Name Angle Reference X-component Y-component Angle A 10 m 0° в 15 m 90° Resultant (R) Vector Diagrams:
Vector Addition Template – Problem 1 Equations for Vector Components: Polar to Rectangular Rectangular to Polar A, = A cos 0 Ay = A sin 0 R = R,² + R,² 0 = tan %3D Rx = Ax + Bỵ + ... Ry = Ay + By + … Summary of Results: Magnitude Name Angle Reference X-component Y-component Angle A 10 m 0° в 15 m 90° Resultant (R) Vector Diagrams:
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Question
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
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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