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21 Jan 2022
Problem 52a
Page 72
Section: General Problems
Chapter 3: Kinematics In Two Dimensions; Vectors
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21 Jan 2022
Given information
Given two vectors, 
and 
, add to a resultant 
.
To describe and if 
.
Step-by-step explanation
Step 1.
Recall that any vector can be resolved to its 
and 
components using the equations below.
and components using the equations below.
where $V$ is the magnitude of the vector and 
is the angle the vector makes with respect to the 
axis.
is the angle the vector makes with respect to the axis.If the components are known, the magnitude of the vector can be derived using the Pythagorean theorem.
In addition, the sum of the components and the sum of the components of the added vectors are equal to the and components of the resultant vector 
.
components and the sum of the components of the added vectors are equal to the and components of the resultant vector .Unlock all Textbook Solutions
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Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922
Solutions
Chapter
Section
- Problem 52a
- Problem 52b
- Problem 52c
- Problem 53
- Problem 54
- Problem 55
- Problem 56
- Problem 57
- Problem 58a
- Problem 58b
- Problem 59a
- Problem 59b
- Problem 59c
- Problem 59d
- Problem 59e
- Problem 59f
- Problem 60
- Problem 61
- Problem 62
- Problem 63a
- Problem 63b
- Problem 64
- Problem 65
- Problem 65
- Problem 66
- Problem 67
- Problem 68
- Problem 69a
- Problem 69b
- Problem 70
- Problem 71a
- Problem 71b
- Problem 72
- Problem 73a
- Problem 73b
- Problem 74a
- Problem 74b
- Problem 75
- Problem 87