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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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 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:
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:
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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