A force of F1 = 5i + 14j [N] is applied to the end of a rod extending from point O with coordinates (xo, Yo) = (0, 0) meters to point A with coordinates (XA, YA) = (9.0, 10.0). A second force, F2 = 9i+ 8j [N] is applied to the same rod at point B with coordinates (xg, YB) = (9.0/2, 10.0/2) meters. Calculate the magnitude of the moment of force produced by F₁ and F2. Indicate the direction of the moment vector with a "+" or "-" and give the answer to 1 decimal place.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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A force of F₁ = 5i + 14j [N] is applied to the end of a rod extending from point O with
coordinates (xo, Yo) = (0, 0) meters to point A with coordinates (XA, YA) = (9.0, 10.0).
A second force, F2 = 9i+ 8j [N] is applied to the same rod at point B with
coordinates (XB, YB) = (9.0/2, 10.0/2) meters. Calculate the magnitude of the
moment of force produced by F₁ and F2. Indicate the direction of the moment vector
with a "+" or "-" and give the answer to 1 decimal place.
Transcribed Image Text:A force of F₁ = 5i + 14j [N] is applied to the end of a rod extending from point O with coordinates (xo, Yo) = (0, 0) meters to point A with coordinates (XA, YA) = (9.0, 10.0). A second force, F2 = 9i+ 8j [N] is applied to the same rod at point B with coordinates (XB, YB) = (9.0/2, 10.0/2) meters. Calculate the magnitude of the moment of force produced by F₁ and F2. Indicate the direction of the moment vector with a "+" or "-" and give the answer to 1 decimal place.
Expert Solution
Step 1

Given:

Coordinate of the point O:

Xo,Yo=0,0

Coordinate of point A:

XA,YA=9,10

Coordinate of point B:

XB,YB=9/2,10/2=4.5,5

Force applied at point A:

F1=5i+14j N

Force applied at point B:

F2=9i+8j N

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