Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN: 9780190698614
Author: Sadiku, Matthew N. O.
Publisher: Oxford University Press
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Equivalent Systems
Learning Goal:
To be able to reduce a system that contains several forces and couple moments to an equivalent, simpler system.
Sometimes it is convenient to replace a complicated system of forces and couple moments by an equivalent resultant force and couple moment acting at a
specific point. The two systems are equivalent because they cause the body to have the same tendency to translate and rotate. The reactions at the supports
will be the same for the original system and the equivalent system.
Part A
Consider the following four cases in which a man holds a rod of negligible weight in either the vertical or the horizontal position. Forces are applied at either
end of the rod. Only one force of 100 lb is applied at a time. The man is blindfolded so he cannot see where the force is being applied; however, the man
can detect differences through his hands, which must hold the rod stationary.
A
B
F= 100 lb
F= 100 lb
F= 100 lb
F= 100 lb
Which of the following statements are true?
Check all that apply.
You did not open hints for this part.
ANSWER:
In case B, the man will only feel a force to the right.
In case D, the man will only feel a force to the right.
In case A, the man will feel both a force to the right and a twisting force (moment) in the clockwise direction about his hand.
In case C, the man will only feel a force to the right.
Part B Complete previous part(s)
D
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Transcribed Image Text:Equivalent Systems Learning Goal: To be able to reduce a system that contains several forces and couple moments to an equivalent, simpler system. Sometimes it is convenient to replace a complicated system of forces and couple moments by an equivalent resultant force and couple moment acting at a specific point. The two systems are equivalent because they cause the body to have the same tendency to translate and rotate. The reactions at the supports will be the same for the original system and the equivalent system. Part A Consider the following four cases in which a man holds a rod of negligible weight in either the vertical or the horizontal position. Forces are applied at either end of the rod. Only one force of 100 lb is applied at a time. The man is blindfolded so he cannot see where the force is being applied; however, the man can detect differences through his hands, which must hold the rod stationary. A B F= 100 lb F= 100 lb F= 100 lb F= 100 lb Which of the following statements are true? Check all that apply. You did not open hints for this part. ANSWER: In case B, the man will only feel a force to the right. In case D, the man will only feel a force to the right. In case A, the man will feel both a force to the right and a twisting force (moment) in the clockwise direction about his hand. In case C, the man will only feel a force to the right. Part B Complete previous part(s) D
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