Figure 1.3c shows the Cartesian Coordinate System x, y and z. Knowing that points D, E and F are at the middle of AC, AB and BC respectively. Given p = 7 m, q = 3 m and r = 4 m, identify all the possible position vector(s), if a force directs from point B to point E and rotates about OC-axis. (Note: Possible to have more than one answer. Marks will only be awarded when all possible answers are identified) X r D 9 Figure 1.3c Z HF E G P B r P y (-7, 6, 0) (14, 0, 0) (0,6, 0) (0, 0, -4) (-14, 6, 0) (0, 3, 4)

Figure 1.3c shows the Cartesian Coordinate System x, y and z. Knowing that points D, E and F are at the middle of AC, AB and BC respectively. Given p = 7 m, q = 3 m and r = 4 m, identify all the possible position vector(s), if a force directs from point B to point E and rotates about OC-axis. (Note: Possible to have more than one answer. Marks will only be awarded when all possible answers are identified) X r D 9 Figure 1.3c Z HF E G P B r P y (-7, 6, 0) (14, 0, 0) (0,6, 0) (0, 0, -4) (-14, 6, 0) (0, 3, 4)

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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Question

Figure 1.3c shows the Cartesian Coordinate System x,
y and z. Knowing that points D, E and F are at the
middle of AC, AB and BC respectively.
Given p = 7 m, q = 3 m and r = 4 m, identify all the
possible position vector(s), if a force directs from
point B to point E and rotates about OC-axis. (Note:
Possible to have more than one answer. Marks will only be
awarded when all possible answers are identified)
X
r
D
9
Figure 1.3c
Z
HF
E
G
P
B
r
P y
(-7, 6, 0)
(14, 0, 0)
(0,6, 0)
(0, 0, -4)
(-14, 6, 0)
(0, 3, 4)
(-14, -3, -4)

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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…