Elements Of Electromagnetics
7th Edition
ISBN: 9780190698614
Author: Sadiku, Matthew N. O.
Publisher: Oxford University Press
expand_more
expand_more
format_list_bulleted
Related questions
Concept explainers
Question
![### Relative Motion Analysis (Cars)
#### Problem Statement:
At the instant shown, cars A and B are traveling at speeds of 55 mi/h and 40 mi/h, respectively. Car B is increasing its speed by 1200 mi/h², while car A maintains a constant speed. Car B moves along a curve having a radius of curvature of 0.5 mi.
#### Diagram:
The given diagram shows two cars, A and B. Car A is traveling at 55 mi/h along a straight path, while car B is traveling at 40 mi/h along a curved path with a radius of curvature of 0.5 mi. The angle between the direction of car B's motion and the x-axis is 30°.
### Part A:
Determine the magnitude of the velocity of \( B \) with respect to \( A \).
- Express your answer to three significant figures and include the appropriate units.
\[ v_{B/A} = \boxed{ \hspace{4cm} } \, \text{mi/h} \]
### Part B:
Determine the angle \( \theta_{B/A} \) of \( \mathbf{v}_{B/A} \) (counterclockwise from the positive x-axis).
- Express your answer to three significant figures and include the appropriate units.
\[ \theta_{B/A} = \boxed{ \hspace{4cm} } \, ^\circ \]
### Part C:
Determine the magnitude of the acceleration of \( B \) with respect to \( A \).
- Express your answer to three significant figures and include the appropriate units.
\[ a_{B/A} = \boxed{ \hspace{4cm} } \, \text{mi/h}^2 \]
### Part D:
Determine the angle \( \phi_{B/A} \) of \( \mathbf{a}_{B/A} \) (counterclockwise from the positive x-axis).
- Express your answer to three significant figures and include the appropriate units.
\[ \phi_{B/A} = \boxed{ \hspace{4cm} } \, ^\circ \]
### Explanation of the Diagram:
- Car A is shown traveling on a linear path at 55 mi/h.
- Car B is traveling on a curved path at 40 mi/h, with an increase in speed of 1200 mi/h².
- The curve along which car B is traveling has a radius of curvature](https://content.bartleby.com/qna-images/question/7f88d8b4-ac68-457e-9d02-d311a9616c7b/14d5c70d-2acb-4d17-8aca-b2675892cf1b/osxzqh4_processed.png)
Transcribed Image Text:### Relative Motion Analysis (Cars)
#### Problem Statement:
At the instant shown, cars A and B are traveling at speeds of 55 mi/h and 40 mi/h, respectively. Car B is increasing its speed by 1200 mi/h², while car A maintains a constant speed. Car B moves along a curve having a radius of curvature of 0.5 mi.
#### Diagram:
The given diagram shows two cars, A and B. Car A is traveling at 55 mi/h along a straight path, while car B is traveling at 40 mi/h along a curved path with a radius of curvature of 0.5 mi. The angle between the direction of car B's motion and the x-axis is 30°.
### Part A:
Determine the magnitude of the velocity of \( B \) with respect to \( A \).
- Express your answer to three significant figures and include the appropriate units.
\[ v_{B/A} = \boxed{ \hspace{4cm} } \, \text{mi/h} \]
### Part B:
Determine the angle \( \theta_{B/A} \) of \( \mathbf{v}_{B/A} \) (counterclockwise from the positive x-axis).
- Express your answer to three significant figures and include the appropriate units.
\[ \theta_{B/A} = \boxed{ \hspace{4cm} } \, ^\circ \]
### Part C:
Determine the magnitude of the acceleration of \( B \) with respect to \( A \).
- Express your answer to three significant figures and include the appropriate units.
\[ a_{B/A} = \boxed{ \hspace{4cm} } \, \text{mi/h}^2 \]
### Part D:
Determine the angle \( \phi_{B/A} \) of \( \mathbf{a}_{B/A} \) (counterclockwise from the positive x-axis).
- Express your answer to three significant figures and include the appropriate units.
\[ \phi_{B/A} = \boxed{ \hspace{4cm} } \, ^\circ \]
### Explanation of the Diagram:
- Car A is shown traveling on a linear path at 55 mi/h.
- Car B is traveling on a curved path at 40 mi/h, with an increase in speed of 1200 mi/h².
- The curve along which car B is traveling has a radius of curvature
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution
Trending nowThis is a popular solution!
Step by stepSolved in 3 steps with 3 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- - X A î O km/h VB B + X Two vehicles, A and B, drive in the same direction as seen in the image above. At this instant, vehicle A's speed is 48 km/h and vehicle B's speed is 66 km/h. What is the relative velocity of A with respect to B i.e. A/B? Write your answer in component form as integers. Enter negative values if necessary. A/B = Number BY SA USask Engineeringarrow_forwardแสดงวิธีทำให้ดูหน่อยarrow_forwardCar A is traveling at the constant speed of 60 km/h as it rounds the circular curve of 225-m radius and at the instant represented is at the position e = 47°. Car B is traveling at the constant speed of 87 km/h and passes the center of the circle at this same instant. Car A is located with respect to car B by polar coordinates r and 0 with the pole moving with B. For this instant determine the values of i and 0 as measured by an observer in car B.arrow_forward
- Car A is traveling at the constant speed of 45 km/h as it rounds the circular curve of radius r = 380 m and at the instant represented is at the position 0 = 40°. Car B is traveling at the constant speed of 54 km/h and passes the center of the circle at this same instant. Car A is located with respect to car B by polar coordinates r and with the pole moving with B. For this instant determine VA/B and the values of r and as measured by an observer in car B. Answers: VA/B = r = 0 = i i 8 m/s m/s rad/s Barrow_forwardAt the instant shown in (Figure 1) , the car at A is traveling at 10 m/sm/s around the curve while increasing its speed at 5.1 m/s2m/s2. The car at B is traveling at 28.5 m/sm/s along the straightaway and increasing its speed at 2 m/s^2. First Question: Determine the direction angle of the relative velocity with respect to B at this instant, measured counterclockwise from the positive x axis. Second Question: Determine the magnitude of the relative acceleration of A with respect to B at this instant. Third Question: Determine the direction angle of the relative acceleration with respect to B at this instant, measured counterclockwise from the positive x axis.arrow_forwardPlz expert solve correctlyarrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
- Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University Press
Mechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSON
Thermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education 
Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEY
Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning
Engineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY
Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY