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20 Jan 2022
Problem 9a
Page 66
Section: Problems
Chapter 3: Kinematics In Two Dimensions; Vectors
Textbook ExpertVerified Tutor
20 Jan 2022
Given information
Given three vectors are shown in Fig. 3-35. Their magnitudes are given in arbitrary units. Vector magnitudes are given in arbitrary units.
To determine the sum of the three vectors. Give the resultant in terms of components
Step-by-step explanation
Step 1.
Each vector has an 
and 
component which can be calculated by resolving the individual vectors. The and components of each vector are given by
and component which can be calculated by resolving the individual vectors. The and components of each vector are given by
In these equations 
represents each of the vectors in the problem. Substitute the respective magnitude and angle for each vector and evaluate the expressions.
represents each of the vectors in the problem. Substitute the respective magnitude and angle for each vector and evaluate the expressions.Note: Vector 
is in the second quadrant so the component will have a negative sign. Vector 
points directly down at an angle of 
from the positive axis, so the component will be negative.
is in the second quadrant so the component will have a negative sign. Vector points directly down at an angle of from the positive axis, so the component will be negative.Unlock all Textbook Solutions
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Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922
Solutions
Chapter
Section
- Problem 1
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- Problem 3
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- Problem 5a
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- Problem 5c
- Problem 6a
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- Problem 52c