Problem 5: Inputs: F = 81 i lb The force is applied at point A. (a) Use the cross product to compute the moment about point O. Mo= roa X F. Express your answer as a vector. (b) Using the right-hand rule, interpret your vector result from the previous step and express this as a number with direction, CW or CCW. Use the absolute value here. (c) Use the scalar approach to compute the moment about point O. If you like, you can use the table we used for the previous problems, but a table is not required for this problem. (d) Do parts (b) and (c) jibe? Yes or no. (0, 3, 0) ft A 0 F X Even though this is a 2D problem, notice that you must retain the z-term in your vector formulations. That's because the result of the cross product is a moment vector that is perpendicular to the plane containing r and F. In other words, if you're using the cross product, you are inherently constructing a 3D problem, even though the inputs look like a 2D problem.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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Problem 5:
Inputs:
F = 81 i lb
The force is applied at point A.
(a) Use the cross product to compute the moment
about point O. Mo = TOA X F. Express your answer
as a vector.
(b) Using the right-hand rule, interpret your vector
result from the previous step and express this as a
number with direction, CW or CCW. Use the absolute
value here.
(c) Use the scalar approach to compute the moment
about point O. If you like, you can use the table we used
for the previous problems, but a table is not required for this
problem.
(d) Do parts (b) and (c) jibe? Yes or no.
(0, 3, 0) ft
y
A
O
F
X
Even though this is a 2D problem, notice that you must retain the z-term in your vector formulations. That's
because the result of the cross product is a moment vector that is perpendicular to the plane containing r and
F.
In other words, if you're using the cross product, you are inherently constructing a 3D problem, even though
the inputs look like a 2D problem.
Transcribed Image Text:Problem 5: Inputs: F = 81 i lb The force is applied at point A. (a) Use the cross product to compute the moment about point O. Mo = TOA X F. Express your answer as a vector. (b) Using the right-hand rule, interpret your vector result from the previous step and express this as a number with direction, CW or CCW. Use the absolute value here. (c) Use the scalar approach to compute the moment about point O. If you like, you can use the table we used for the previous problems, but a table is not required for this problem. (d) Do parts (b) and (c) jibe? Yes or no. (0, 3, 0) ft y A O F X Even though this is a 2D problem, notice that you must retain the z-term in your vector formulations. That's because the result of the cross product is a moment vector that is perpendicular to the plane containing r and F. In other words, if you're using the cross product, you are inherently constructing a 3D problem, even though the inputs look like a 2D problem.
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