500N Example: The resultant of the concurrent forces shown in figure is 300 N pointing up along the y-axis. Compute the value of F and e required to give this resultant. 30 240N
500N Example: The resultant of the concurrent forces shown in figure is 300 N pointing up along the y-axis. Compute the value of F and e required to give this resultant. 30 240N
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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Transcribed Image Text:Example:
The resultant of the concurrent forces shown in figure
is 300 N pointing up along the y-axis. Compute the
value of F and e required to give this resultant.
50ON
30
240N
o Since the resultant is up along y-
axis then EF = 0
o HW.
o F = Fcos 0 + 240 cos 30 – 500 = 0
o Fcos 0- 292.15 = 0
o Repeat this problem if the
resultant is 40ON down to the
right at 60° with the x-axis.
o Also repeat the problem if
the body is in equilibrium.
o Fcos 0 = 292.15... ....
(1)
o F, = R = Fsin 0 - 240 sin 30 = 300
Fsin 0 = 300+ 120 = 420 ..... (2)
Divide eqn. (2) by (1) yields
F sin 0
420
%3D
F cos e
292.15
o tan 0 = 1.4376,
0 = tan 1.4376 = 55.18°
420
F =
sin 55.18
= 511.6N
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