If each of the force system shown is reduced to a force-couple system with the force acting at A, which forcesystems are equivalent?400 N200 N-m400 N200 N4 m(a)(d)SCO N200 N2300 N.mA1800 N.m800 N200 N.m2400 N-m4000 N-m600 N400 N300 N(b)(e)(h)900 N-mA200 N400 N.m300 ND300 N-m300 N300 N-m800 N(c)(f)900 N4500 N.m300 N-m200 N

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If each of the force system shown is reduced to a force-couple system with the force acting at A, which force systems are equivalent? 400 N A 4m (a) B 200 N 1800 N-m 600 N (b) 900 N-m 300 N (c) 900 N 4500 N-m

If each of the force system shown is reduced to a force-couple system with the force acting at A, which force systems are equivalent? 400 N A 4m (a) B 200 N 1800 N-m 600 N (b) 900 N-m 300 N (c) 900 N 4500 N-m

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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200 lb 0 400 lb 3 ft 4 ft (a) 300 lb 2 ft 3 ft y For the loaded plate shown, four parallel forces are applied Three of the 4 forces are shown. The fourth force P and its line of action are unknown. The resultant of this force-couple system is only represented by the couple vector CR=-1100i + 1500j lb.ft. Determine the force P and its line of action. 1. Solve this problem algebraically by hand 2. Write a code to solve it arbitrarily. 3. Use part 2 to verify part 1. 4. In your submission include both just the code plus the "run" version of the code to show the results for P
Question #4: Find-an-equipollent-force-passing-through-point-A-and-a-couple-to-replace the combination. of forces-and-moments-in-the-figure-below. A -6 m 20 N 141.4 N -6 m 500 N. m 6 m 50 N
Determine which of the force systems in (b) through (f) are equivalent to the force-couple system in (a). 3.1 10 Ib 50 lb ft 10 lb 4 ft 5 ft 8 lb 3ft 10 lb 50 lb ft 4 ft 14 lb (a) (b) (c) 10 lb 24 lb ft 6 lb 5 lb 8 lb 80 lb ft 8 lb 8 lb 4 lb 36 lb ft (d) (e) (f) Figure P3.1
2 place the Force 70N by Equivalent System consist of one force &couple at 1: At Supporting point (A). 2: At point (c) 0.9m 0.7m 70 N
F1 F2 a F3 A B F4 E F5 Consider the following values: - a - 25 m; b = 5 m; c - 25 m; d = 5 m; F1 6 kN; F2 - 7 kN; P3 - 8 kN; F4 - 9 kN; P5 - 10 kN; a = 30°, e= 60° , B= 45° 1] What is the resultant moment of the five forces acting on the rod about point A?
F1 F2 a F3 b F4 FS Consider the following values: - a 25 m; b - 5 m; c- 25 m; d 5 m; F1 - 3 kN; F2 - 1 kN; F3 - 4 kN; F4 - 6 KN; F5 - 8 kN; a = 30°, 0 = 60°, B= 30° 4] What is the resultant moment of the five forces acting on the rod about point D? a) 117.8 kN.m b) - 184.2 KN.m )– 211.9 kN.m d) 126.9 kN.m e) - 27.1 kN.m 125.1 kN.m Activate Go to Setting n 32.3 kN.m 5] What is the moment of the force F2 about point E? a) 11.7 kN.m b) 19.8 kN.m c) 54.6 kN.m d) 9.1 kN.m e) 41.1 kN.m
F1 F2 a F3 b F4 FS Consider the following values: - a 25 m; b - 5 m; c- 25 m; d 5 m; F1 - 3 kN; F2 - 1 kN; F3 - 4 kN; F4 - 6 KN; F5 - 8 kN; a = 30°, 0 = 60°, B= 30° 4] What is the resultant moment of the five forces acting on the rod about point D? a) 117.8 kN.m b) - 184.2 KN.m )– 211.9 kN.m d) 126.9 kN.m e) - 27.1 kN.m H 125.1 kN.m Activate 5] What is the moment of the force F2 about point E? c) 54.6 kN.m Go to Setting n 32.3 kN.m a) 11.7 kN.m b) 19.8 kN.m d) 9.1 kN.m e) 41.1 kN.m
F1 F2 a F3 A F4 Consider the following values: - FS a - 25 m; b - 5 m; a- 25 m; d - 5 m; F1 - 3 kN; F2 - 1 kN; F3 - 4 kN; F4 - 6 kN; F5 - 8 kN; a = 30°, 0 = 60°, B= 30° 1] What is the resultant moment of the five forces acting on the rod about point A? a) 85.8 kN.m b)-21.1 kN.m )-13.5 kN.m d) 7.9 kN.m )24.1 KN.m 0-57.8 kN.m 2] What is the resultant moment of the five forces acting on the rod about point B? a) 188.8 kN.m b)- 153.5 kN.m ) 111.6 KN.m d) - 98.9 kN.m e) 85.4 kN.m 0- 244.2 kN.m 3] What is the resultant moment of the five forces acting on the rod about point C? a) 186 kN.m b) - 171 KN.m 155 kN.m d) 279 kN.m )423 kN.m 0 353 kN.m 4] What is the resultant moment of the five forces acting on the rod about point D? a) 117.8 kN.m b) - 184.2 kN.m )-211.9 kN.m d) 126.9 kN.m )-27.1 kN.m n 125.1 kN.m Activate 5) What is the moment of the force F2 about point E? c) 54.6 kN.m Go to Setting ) 32.3 kN.m a) 11.7 kN.m b) 19.8 kN.m d) 9.1 kN.m e) 41.1 kN.m
F1 F2 a F3 A d. F4 Consider the following values: F5 a = 25 m;b = 5 m; c = 25 m; d = 5 m; F1 = 3 kN; F2 = 11 kN; F3 = 2 kN; F4 = 20 kN; F5 = 2 kN; a = 30°, 0 = 60° , B = 30° 1] What is the resultant moment of the five forces acting on the rod about point A? a) - 15.8 kN.m b) 12.7 kN.m c) - 74.6 kN.m d) 52.9 kN.m e) 24.1 kN.m f)- 47.1 kN.m 2] What is the resultant moment of the five forces acting on the rod about point B? a) 8.8 kN.m b) 2.7 kN.m c) 31.6 kN.m d) 8.9 kN.m e) 5.4 kN.m ) 24.2 kN.m 3] What is the resultant moment of the five forces acting on the rod about point C? a) 86.7 kN.m b) 51.1 kN.m c) 14.6 kN.m d) 27.9 kN.m e) 74.1 kN.m ) 35.3 kN.m 4] What is the resultant moment of the five forces acting on the rod about point D? a) - 17.8 kN.m b) 82.7 kN.m c) - 21.9 kN.m d) 36.9 kN.m e) - 27.1 kN.m f) 30.1 kN.m Activate V 5] What is the moment of the force F2 about point E? Go to Setting ) 321.3 kN.m a) 111.7 kN.m b) 218.1 kN.m c) 254.6 kN.m d) 93.1 kN.m e) 101.1 kN.m bo
F1 F2 F3 A B b F4 E Consider the following values: - F5 a - 25 m; b - 5 m; a - 25 m; d- 5 m; F1 - 4 kN; F2 2 kN; F3 - 5 KN; F4 - 7 kN; F5 - 3 kN; = 30°, 0 = 60° B= 30° 1] What is the resultant moment of the five forces acting on the rod about point A? a) - 4.5 KN.m b) 1.7 kN.m ) - 82.6 KN.m d) 82.9 kN.m e) 24.1 kN.m 0- 47.1 KN.m 2] What is the resultant moment of the five forces acting on the rod about point B? a) - 96.1 kN.m b) 21.7 kN.m e) - 41.6 kN.m d) 80.9 kN.m e) - 5.4 kN.m D 87.2 KN.m 3] What is the resultant moment of the five forces acting on the rod about point C? a) - 98.6 kN.m b) 66.1 kN.m ) 17.6 KN.m d) 28.9 KN.m e) 91.1 kN.m ) 22.3 kN.m 4] What is the resultant moment of the five forces acting on the rod about point D? a) – 109.9 KN.m b) 112.7 KN.m )-81.9 kN.m d) 126.9 kN.m e) - 127.1 kN.m 030.1 kN.m 5] What is the moment of the force F2 about point E? a) 39.6 kN.m b) 48.1 kN.m c) 25.8 kN.m d) 13.1 kN.m e) 11.1 kN.m ) 21.3 KN.m
F1 F2 a C F3 A F4 D Consider the following values: - F5 a = 16 m; b = 11 m; c = 13 m; d = 8 m; F1 = 3 kN; F2 = 11 kN; F3 a = 30°, 0 = 60° , B = 30° 2 kN; F4 = 20 kN; F5 = 2 kN; 1] What is the resultant moment of the five forces acting on the rod about point A? c) 19.6 kN.m a) 88.8 kN.m b) 76.3 kN.m d) 55.5 kN.m e) 59.1 kN.m f) 81.3 kN.m 2] What is the resultant moment of the five forces acting on the rod about point B? a) 88.8 kN.m b) 120.8 kN.m c) 31.6 kN.m d) 98.9 kN.m e) 41.1 kN.m ) 24.2 kN.m 3] What is the resultant moment of the five forces acting on the rod about point C? a) 125.7 kN.m b) 178.1 kN.m c) 254.6 kN.m d) 439.1 kN.m e) 144.1 kN.m ) 215.3 kN.m 4] What is the resultant moment of the five forces acting on the rod about point D? a) 77.8 kN.m b) 98.3 kN.m c) 100.6 kN.m d) 18.9 kN.m e) 97.1 kN.m ) 60.1 kN.m 5] What is the moment of the force F2 about point E? Activate W a) 122.7 kN.m b) 108.1 kN.m c) 66.6 kN.m d) 83.1 kN.m e) 111.1 kN.m ) 151.3 kN.m Go to Setting
5.) If the resultant force (single equivalent force) of the given system is known to pass through point B, what must the magnitude of the applied moment couple M be? Report a positive answer if M must be counterclockwise and a negative answer if M must be clockwise. [Answer: M = -8600 N m] 650 N 30° M -3 m 300 N -5 m- 500 N Ka -2 m- B