у - ахis F4 F5 X- axis F1 х- ахis y - axis F3 F1 F2 Figure (1) Figure (2) 250 N 36.87 F2 D 60°! 0.5 m B. 1 m 0.2 m 1 m 300 N F1 1 m Figure (3) Figure (4) Q1] Answer the following questions: For figure (1): The object is subjected to two forces F1 = 25 N, and F2 = 50 N. Set x = 30°, 0 = 45° , and ß = 30°. 1 - What is the magnitude of the resultant of these two forces? a) 39.4 N b) 80.1N c) 41.6 N d) 69.8 N e) 71.4 N f) 46.1 N g) None of them 2 - What is the direction of the resultant force measured counterclockwise from the positive x-axis? a) 14.3° b) 392.6° c) 9.2° d) 322.9° e) 6.8° f) 344.2° g) None of them N 00S

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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3G
9:..
%79
Final 1st attem...
F2
У - ахis
Fs
F4
F1
х - ахis
X- axis
y - axis
F3
F2
F1
Figure (1)
Figure (2)
250 N
36.87
D
F2
60°
0.5 m
1 m
o!
0.2 m
1 m
300 NE
F1
1 m
Figure (3)
Figure (4)
Q1] Answer the following questions:
For figure (1):
The object is subjected to two forces F1 = 25 N, and F2 = 50 N. Set x = 30°, 0 = 45° , and ß = 30°.
1- What is the magnitude of the resultant of these two forces?
a) 39.4 N
b) 80.1N
c) 41.6 N
d) 69.8 N
e) 71.4 N
f) 46.1 N
g) None of them
2 - What is the direction of the resultant force measured counterclockwise from the positive x-axis?
а) 14.30
b) 392.6°
c) 9.2°
d) 322.9°
e) 6.8°
f) 344.2°
g) None of them
For figure (2):
The arm in is subjected to five forces as follows: F1 = 135 N, F2 = 98 N, F3 = 210 N, F4 = 56 N.
If the y – direction resultant force is 144 N, and x = 40°, 0 = 50°, B = 70°:
3 – What is the magnitude of the force F5?
a) 318.4 N
b) 99.1N
c) 151.6 N
d) 36.5 N
e) 111.2 N
f) 18.8 N
g) None of them
4 - What is the magnitude of the resultant of these five forces?
a) 269.4 N
b) 157.1N
c) 354.5 N
d) 280.6 N
e) 155.4 N
f) 329.1 N
g) None of them
5 - What is the direction of resultant measured counterclockwise from the positive x-axis?
a) 13.6°
b) 285.5°
c) 30.8°
d) 110.1°
e) 72.3°
f) 190.9°
g) None of them
For figure (3):
6 - What is the magnitude of the resultant of these three forces?
a) 182.9 N
b) 325.8 N
c) 542.3 N
d) 196.6 N
e) 422.4 N
f) 298.1 N
g) None of them
7- What is the resultant moment of the three forces acting on the beam about point C?
a) 110.8 N.m
b) 312.7 N.m
c) 184.6 N.m
d) 510.9 N.m
e) 441.1 N.m
f) 211.3 N.m
g) None of them
8 - What is the resultant moment of the three forces acting on the beam about point D?
a) 1396 N.m
b) - 1517 N.m
c) 2176 N.m
d) - 989 N.m
e) 1331 N.m
f) - 1158 N.m
g) None of them
9 - What is the resultant moment of the three forces acting on the beam about point B?
a) - 625 N.m
b) 299 N.m
c) - 856 N.m
d) 966 N.m
e) - 584 N.m
f) 293 N.m
g) None of them
10 – What is the distance (d) measured from point D, where at which the resultant force intersects the beam?
a) 3.44 m
b) 2.92 m
c) 1.66 m
d) 3.11 m
e) 2.17 m
f) 1.13 m
g) None of them
N 00S
Transcribed Image Text:3G 9:.. %79 Final 1st attem... F2 У - ахis Fs F4 F1 х - ахis X- axis y - axis F3 F2 F1 Figure (1) Figure (2) 250 N 36.87 D F2 60° 0.5 m 1 m o! 0.2 m 1 m 300 NE F1 1 m Figure (3) Figure (4) Q1] Answer the following questions: For figure (1): The object is subjected to two forces F1 = 25 N, and F2 = 50 N. Set x = 30°, 0 = 45° , and ß = 30°. 1- What is the magnitude of the resultant of these two forces? a) 39.4 N b) 80.1N c) 41.6 N d) 69.8 N e) 71.4 N f) 46.1 N g) None of them 2 - What is the direction of the resultant force measured counterclockwise from the positive x-axis? а) 14.30 b) 392.6° c) 9.2° d) 322.9° e) 6.8° f) 344.2° g) None of them For figure (2): The arm in is subjected to five forces as follows: F1 = 135 N, F2 = 98 N, F3 = 210 N, F4 = 56 N. If the y – direction resultant force is 144 N, and x = 40°, 0 = 50°, B = 70°: 3 – What is the magnitude of the force F5? a) 318.4 N b) 99.1N c) 151.6 N d) 36.5 N e) 111.2 N f) 18.8 N g) None of them 4 - What is the magnitude of the resultant of these five forces? a) 269.4 N b) 157.1N c) 354.5 N d) 280.6 N e) 155.4 N f) 329.1 N g) None of them 5 - What is the direction of resultant measured counterclockwise from the positive x-axis? a) 13.6° b) 285.5° c) 30.8° d) 110.1° e) 72.3° f) 190.9° g) None of them For figure (3): 6 - What is the magnitude of the resultant of these three forces? a) 182.9 N b) 325.8 N c) 542.3 N d) 196.6 N e) 422.4 N f) 298.1 N g) None of them 7- What is the resultant moment of the three forces acting on the beam about point C? a) 110.8 N.m b) 312.7 N.m c) 184.6 N.m d) 510.9 N.m e) 441.1 N.m f) 211.3 N.m g) None of them 8 - What is the resultant moment of the three forces acting on the beam about point D? a) 1396 N.m b) - 1517 N.m c) 2176 N.m d) - 989 N.m e) 1331 N.m f) - 1158 N.m g) None of them 9 - What is the resultant moment of the three forces acting on the beam about point B? a) - 625 N.m b) 299 N.m c) - 856 N.m d) 966 N.m e) - 584 N.m f) 293 N.m g) None of them 10 – What is the distance (d) measured from point D, where at which the resultant force intersects the beam? a) 3.44 m b) 2.92 m c) 1.66 m d) 3.11 m e) 2.17 m f) 1.13 m g) None of them N 00S
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