A hydraulic-lift truck carries a shipping container on the inclined loading ramp in a warehouse. The F = 2 kN and F = 18 kN forces act on a rear tire as shown in the directions perpendicular and parallel to the ramp. j i 15° a. Express the resultant of those two forces as a vector using the unit vectors i and j. (Express your answer using four significant figures.) R = |i+ j kN b. Determine the magnitude of the resultant and its angle relative to the incline. (Express your answers using four and three significant figures, respectively.) R = ]kN
A hydraulic-lift truck carries a shipping container on the inclined loading ramp in a warehouse. The F = 2 kN and F = 18 kN forces act on a rear tire as shown in the directions perpendicular and parallel to the ramp. j i 15° a. Express the resultant of those two forces as a vector using the unit vectors i and j. (Express your answer using four significant figures.) R = |i+ j kN b. Determine the magnitude of the resultant and its angle relative to the incline. (Express your answers using four and three significant figures, respectively.) R = ]kN
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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![### Description:
A hydraulic-lift truck is depicted carrying a shipping container on an inclined loading ramp in a warehouse.
### Diagram Explanation:
The diagram shows the truck at an incline of 15° on the ramp. Two forces, \( F_1 \) and \( F_2 \), are acting on a rear tire:
- \( F_1 = 2 \, \text{kN} \), directed parallel to the ramp.
- \( F_2 = 18 \, \text{kN} \), directed perpendicular to the ramp.
The coordinate system is defined with unit vectors \( i \) (parallel to the ramp) and \( j \) (perpendicular to the ramp).
### Problem:
**a.** Express the resultant of these two forces as a vector using the unit vectors \( i \) and \( j \).
- Express your answer using four significant figures.
\[
\mathbf{R} = [ \quad ] \, \mathbf{i} + [ \quad ] \, \mathbf{j} \, \text{kN}
\]
**b.** Determine the magnitude of the resultant and its angle relative to the incline.
- Express your answers using four and three significant figures, respectively.
\[
R = [ \quad ] \, \text{kN}
\]
\[
\theta = [ \quad ]^\circ
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F480f989f-2af6-48a5-ab4d-ef9ac310c5f5%2F425a6708-8662-4c7b-9e83-b7ddd0a28b25%2Fv8mvlhh7_processed.png&w=3840&q=75)
Transcribed Image Text:### Description:
A hydraulic-lift truck is depicted carrying a shipping container on an inclined loading ramp in a warehouse.
### Diagram Explanation:
The diagram shows the truck at an incline of 15° on the ramp. Two forces, \( F_1 \) and \( F_2 \), are acting on a rear tire:
- \( F_1 = 2 \, \text{kN} \), directed parallel to the ramp.
- \( F_2 = 18 \, \text{kN} \), directed perpendicular to the ramp.
The coordinate system is defined with unit vectors \( i \) (parallel to the ramp) and \( j \) (perpendicular to the ramp).
### Problem:
**a.** Express the resultant of these two forces as a vector using the unit vectors \( i \) and \( j \).
- Express your answer using four significant figures.
\[
\mathbf{R} = [ \quad ] \, \mathbf{i} + [ \quad ] \, \mathbf{j} \, \text{kN}
\]
**b.** Determine the magnitude of the resultant and its angle relative to the incline.
- Express your answers using four and three significant figures, respectively.
\[
R = [ \quad ] \, \text{kN}
\]
\[
\theta = [ \quad ]^\circ
\]
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