The traffic light shown below is supported by a system of cables. Points A and B are in a vertical plane which is parallel to the x-z plane. Point C is in the y-z plane. B Z Determine the position vector for OB. The position vector FOB can be written in the form: TOB = Tomi+ronj+ronsk You will have to input each of these three components separately below. Given: The x component of the position vector,TOA = 4 m. • They component of the position vector,TOA = -9 m. is the z component of the position vector,TOA-6 m. 1. What is the x component of the position vector,TOB? Please report this answer in metres to three significant figures. 2. What is they component of the position vector,TOB? Please report this answer in metres to three significant figures. 3. What is the z component of the position vector,TOB? Please report

The traffic light shown below is supported by a system of cables. Points A and B are in a vertical plane which is parallel to the x-z plane. Point C is in the y-z plane. B Z Determine the position vector for OB. The position vector FOB can be written in the form: TOB = Tomi+ronj+ronsk You will have to input each of these three components separately below. Given: The x component of the position vector,TOA = 4 m. • They component of the position vector,TOA = -9 m. is the z component of the position vector,TOA-6 m. 1. What is the x component of the position vector,TOB? Please report this answer in metres to three significant figures. 2. What is they component of the position vector,TOB? Please report this answer in metres to three significant figures. 3. What is the z component of the position vector,TOB? Please report

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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Concept explainers

Free Body Diagram

The system of forces acting on a body tends to either rotate it or make the body undergo motion. In general, when an external agent exerts a force on a body, the body undergoes translational motion and rotational motion. The body has six degrees of freedom under the influence of that force. Here, three degrees of freedom are from the translational motion while the other three are from the rotation motion. However, sometimes the bodies are not allowed to undergo any motion and are fixed, under such conditions the body is said to be constrained.

Question

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The traffic light shown below is supported by a system of cables.
Points A and B are in a vertical plane which is parallel to the x-z plane.
Point C is in the y-z plane.
B
h
Z
X
The traffic light has a mass of 75 kg
The distances are: a = 4 m, b = 6 m, c = 9 m, h = 6 m
To answer the next set of questions you will determine the following:
a. Position vectors for OA, OB, OC
b. Unit vectors for OA, OB, OC
c. Overall equilibrium equation
d. Equilibrium equations in each of the x,y and z directions
e. The tensions in the cables OA, OB and OC
The traffic light has a mass of 75 kg.
The distances are: a = 4m, b = 6 m, c = 9m, h = 6 m.
Determine the position vector for OB.
The position vector FOB can be written in the form:
TOB = TOB₂i+TOB] + Tobak
You will have to input each of these three components separately below.
Given:
•
•
•
The x component of the position vector, TOA = 4 m.
They component of the position vector,TOA = -9 m.
is the z component of the position vector,TOA = 6 m.
1. What is the x component of the position vector,TOB? Please report
this answer in metres to three significant figures.
2. What is the y component of the position vector,TOB? Please report
this answer in metres to three significant figures.
3. What is the z component of the position vector,FOB? Please report
this answer in metres to three significant figures.

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