e 2m B 1m x
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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![### Problem Description
Particles \( B \) and \( A \) move along parabolic and circular paths, respectively. Particle \( B \) has a velocity of \( 6 \, \text{m/s} \) in the direction shown and its speed is increasing at \( 5 \, \text{m/s}^2 \), while \( A \) has a velocity of \( 9 \, \text{m/s} \) in the direction shown and its speed is decreasing at \( 7 \, \text{m/s}^2 \). Particle \( A \) moves so that the same side of it always faces the center of the circle. \( (\text{Figure 1}) \)
### Figure Description
The figure shows:
- A graph with a parabolic path \( y = x^2 \) and a circular arc.
- Particle \( B \) is on the parabola with a vertical line indicating a height of \( 2 \, \text{m} \).
- Particle \( A \) is on the circular path with a vertical line indicating a radius of \( 1 \, \text{m} \).
### Part A
**Determine the \( x \) and \( y \) components of the relative velocity of \( B \) with respect to \( A \) using scalar notation.**
Express your answers using three significant figures separated by a comma.
\[
(v_{B/A})_x, (v_{B/A})_y = \quad \text{m/s}
\]
### Part B
**Determine the \( x \) and \( y \) components of the relative acceleration of \( B \) with respect to \( A \) using scalar notation.**
Express your answers using two significant figures separated by a comma.
\[
(a_{B/A})_x, (a_{B/A})_y = \quad \text{m/s}^2
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F73e7c7d8-a37c-4d1e-af6f-0c5c8d6d1088%2F45e0ca70-af8f-44aa-98bc-5d48d8f4f4b9%2F3u1l7u_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Problem Description
Particles \( B \) and \( A \) move along parabolic and circular paths, respectively. Particle \( B \) has a velocity of \( 6 \, \text{m/s} \) in the direction shown and its speed is increasing at \( 5 \, \text{m/s}^2 \), while \( A \) has a velocity of \( 9 \, \text{m/s} \) in the direction shown and its speed is decreasing at \( 7 \, \text{m/s}^2 \). Particle \( A \) moves so that the same side of it always faces the center of the circle. \( (\text{Figure 1}) \)
### Figure Description
The figure shows:
- A graph with a parabolic path \( y = x^2 \) and a circular arc.
- Particle \( B \) is on the parabola with a vertical line indicating a height of \( 2 \, \text{m} \).
- Particle \( A \) is on the circular path with a vertical line indicating a radius of \( 1 \, \text{m} \).
### Part A
**Determine the \( x \) and \( y \) components of the relative velocity of \( B \) with respect to \( A \) using scalar notation.**
Express your answers using three significant figures separated by a comma.
\[
(v_{B/A})_x, (v_{B/A})_y = \quad \text{m/s}
\]
### Part B
**Determine the \( x \) and \( y \) components of the relative acceleration of \( B \) with respect to \( A \) using scalar notation.**
Express your answers using two significant figures separated by a comma.
\[
(a_{B/A})_x, (a_{B/A})_y = \quad \text{m/s}^2
\]
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