For figure (2): The arm in is subjected to five forces as follows: F = 135 N, F = 98 N. F = 210 N, F= 56 N. If the y- direction resultant force is 144 N, and o = 40°, e = 50°, B = 70°: 3- What is the magnitude of the force Fs? a) 318.4 N b) 99.IN c) 151.6 N d) 36.5 N e) 1112 N ) 18.8 N ) None of them 4- What is the magnitude of the resultant of these five forces? a) 269.4N b) I57.IN e) 354.5 N d) 280.6 N e) 155.4N ) 329.1 N ) 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° ) 190.9 g) None of them

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter7: Analysis Of Stress And Strain
Section: Chapter Questions
Problem 7.7.14P: Solve the preceding problem for the following data: x=1120106,y=430106,xy=780106,and=45.
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y - axis
X- axis
ath
F:
Figure (1)
Figure (2)
250 N
36.87
D
60
ar
500
0.5 m
1 m
0.2 m
1 m
300 N
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 F: = 50 N. Set x = 30°, e = 45°, and B = 30°.
1- What is the magnitude of the resultant of these two forces?
a) 39.4 N
b) 80.IN
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°
) 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, F = 56 N.
If the y - direction resultant force is 144 N, and oc = 40°, 0 = 50° , B = 70°:
3- What is the magnitude of the force Fs?
a) 318.4 N
b) 99.IN c) 151.6 N d) 36.5 N
f) 18.8 N
e) 111.2 N
g) None of them
4 - What is the magnitude of the resultant of these five forces?
a) 269.4 N
b) 157.IN
c) 354.5 N
d) 280.6 N
) 329.1 N ) None of them
e) 155.4 N
5- What is the direction of resultant measured counterclockwise from the positive x-axis?
а) 13.6°
b) 285.5°
c) 30.8°
d) 110.1°
e) 72.3°
) 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
D 298.1 N
e) 422.4 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 ) 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 e) 2176 N.m d) - 989 N.m e) 1331 N.m )- 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
For figure (4):
The ring is subjected to two forces (Fi and F2). Suppose that the resultant force has the value of 225 N and it is
located downward in the third quart at angle 40° measured from the y-axis. Set e = 30°, B = 80°.
11 - What is the value of the force F1?
a) 303.6 N
b) 245.5 N c) 456.6 N
d) 212.1 N
e) 372.2 N
) 289.3 N
g) None of them
N 00S
Transcribed Image Text:y - axis X- axis ath F: Figure (1) Figure (2) 250 N 36.87 D 60 ar 500 0.5 m 1 m 0.2 m 1 m 300 N 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 F: = 50 N. Set x = 30°, e = 45°, and B = 30°. 1- What is the magnitude of the resultant of these two forces? a) 39.4 N b) 80.IN 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° ) 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, F = 56 N. If the y - direction resultant force is 144 N, and oc = 40°, 0 = 50° , B = 70°: 3- What is the magnitude of the force Fs? a) 318.4 N b) 99.IN c) 151.6 N d) 36.5 N f) 18.8 N e) 111.2 N g) None of them 4 - What is the magnitude of the resultant of these five forces? a) 269.4 N b) 157.IN c) 354.5 N d) 280.6 N ) 329.1 N ) None of them e) 155.4 N 5- What is the direction of resultant measured counterclockwise from the positive x-axis? а) 13.6° b) 285.5° c) 30.8° d) 110.1° e) 72.3° ) 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 D 298.1 N e) 422.4 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 ) 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 e) 2176 N.m d) - 989 N.m e) 1331 N.m )- 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 For figure (4): The ring is subjected to two forces (Fi and F2). Suppose that the resultant force has the value of 225 N and it is located downward in the third quart at angle 40° measured from the y-axis. Set e = 30°, B = 80°. 11 - What is the value of the force F1? a) 303.6 N b) 245.5 N c) 456.6 N d) 212.1 N e) 372.2 N ) 289.3 N g) None of them N 00S
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