1. The vector OP shown in the figure has a length of 6 cm. Two sets of perpendicular axes, x-y and x'-y', are shown. Express OP in terms of its x and y components in each set of axes. (a) Calculate the projections of OP along the x and y directions. (OP)x= (OP)y= cm (OP) = (OP)y= cm 30° 30° X (b) Calculate the projections of OP along the x' and y' directions. cm ✔cm
1. The vector OP shown in the figure has a length of 6 cm. Two sets of perpendicular axes, x-y and x'-y', are shown. Express OP in terms of its x and y components in each set of axes. (a) Calculate the projections of OP along the x and y directions. (OP)x= (OP)y= cm (OP) = (OP)y= cm 30° 30° X (b) Calculate the projections of OP along the x' and y' directions. cm ✔cm
University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter2: Vectors
Section: Chapter Questions
Problem 2.3CYU: Check Your understanding Using the three displacement vectors A , B , and F in Figure 2.13, choose a...
Related questions
Question
![(c) Use the projections of OP along the x and y directions to calculate the magnitude of OP
using OP=√(OP)²+(OP₁) ².
OP =
cm
(d) Use the projections of OP along the x' and y' directions to calculate the magnitude of OP
using
OP = √√(OP)² + (OP)²
OP =
cm
(e) What can you conclude about the magnitude of a vector with respect to rotated coordinate
axes?
The magnitude of the vectors using components in different coordinate axes that are
rotated with respect to each other
◆ change.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff787f97c-9dc4-4f39-97ba-c4c8bbc1d69b%2F037d1f54-aad7-43f7-ba17-03b080625022%2Fbml90xu_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(c) Use the projections of OP along the x and y directions to calculate the magnitude of OP
using OP=√(OP)²+(OP₁) ².
OP =
cm
(d) Use the projections of OP along the x' and y' directions to calculate the magnitude of OP
using
OP = √√(OP)² + (OP)²
OP =
cm
(e) What can you conclude about the magnitude of a vector with respect to rotated coordinate
axes?
The magnitude of the vectors using components in different coordinate axes that are
rotated with respect to each other
◆ change.
![1.
The vector OP shown in the figure has a length of 6 cm. Two sets of perpendicular axes, x-y
and x'-y', are shown. Express OP in terms of its x and y components in each set of axes.
(a) Calculate the projections of OP along the x and y directions.
(OP),=
(OP),=
cm
(OP)x=
(OP), =
cm
30°
30°
t
(b) Calculate the projections of OP along the x' and y' directions.
cm
cm](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff787f97c-9dc4-4f39-97ba-c4c8bbc1d69b%2F037d1f54-aad7-43f7-ba17-03b080625022%2Fw8co0c8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1.
The vector OP shown in the figure has a length of 6 cm. Two sets of perpendicular axes, x-y
and x'-y', are shown. Express OP in terms of its x and y components in each set of axes.
(a) Calculate the projections of OP along the x and y directions.
(OP),=
(OP),=
cm
(OP)x=
(OP), =
cm
30°
30°
t
(b) Calculate the projections of OP along the x' and y' directions.
cm
cm
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Recommended textbooks for you
![University Physics Volume 1](https://www.bartleby.com/isbn_cover_images/9781938168277/9781938168277_smallCoverImage.gif)
University Physics Volume 1
Physics
ISBN:
9781938168277
Author:
William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:
OpenStax - Rice University
![Principles of Physics: A Calculus-Based Text](https://www.bartleby.com/isbn_cover_images/9781133104261/9781133104261_smallCoverImage.gif)
Principles of Physics: A Calculus-Based Text
Physics
ISBN:
9781133104261
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
![An Introduction to Physical Science](https://www.bartleby.com/isbn_cover_images/9781305079137/9781305079137_smallCoverImage.gif)
An Introduction to Physical Science
Physics
ISBN:
9781305079137
Author:
James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres
Publisher:
Cengage Learning
![University Physics Volume 1](https://www.bartleby.com/isbn_cover_images/9781938168277/9781938168277_smallCoverImage.gif)
University Physics Volume 1
Physics
ISBN:
9781938168277
Author:
William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:
OpenStax - Rice University
![Principles of Physics: A Calculus-Based Text](https://www.bartleby.com/isbn_cover_images/9781133104261/9781133104261_smallCoverImage.gif)
Principles of Physics: A Calculus-Based Text
Physics
ISBN:
9781133104261
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
![An Introduction to Physical Science](https://www.bartleby.com/isbn_cover_images/9781305079137/9781305079137_smallCoverImage.gif)
An Introduction to Physical Science
Physics
ISBN:
9781305079137
Author:
James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres
Publisher:
Cengage Learning
![College Physics](https://www.bartleby.com/isbn_cover_images/9781285737027/9781285737027_smallCoverImage.gif)
College Physics
Physics
ISBN:
9781285737027
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
![Physics for Scientists and Engineers, Technology …](https://www.bartleby.com/isbn_cover_images/9781305116399/9781305116399_smallCoverImage.gif)
Physics for Scientists and Engineers, Technology …
Physics
ISBN:
9781305116399
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
![Physics for Scientists and Engineers](https://www.bartleby.com/isbn_cover_images/9781337553278/9781337553278_smallCoverImage.gif)
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning