Given: A 3500 lb motor and| 3500 lbplate, as shown, are inequilibrium andsupported by three cablesand d= 4 ft.10 ftFind: Magnitude of the tensionin each of the cables.В4 ft`3 ft3 ft4 ftPlan:1) Draw a free body diagram of Point A. Let the unknownforce magnitudes be FB, Fc, F D .2) Represent each force in the Cartesian vector form.3) Apply equilibrium equations to solve for the 3 unknowns.

Given: A 3500 lb motor and 3500 lb plate, as shown, are in equilibrium and supported by three cables and d= 4 ft. 10 ft Find: Magnitude of the tension in each of the cables. 4 ft 3 ft 3 ft 4 ft Plan: 1) Draw a free body diagram of Point A. Let the unknown force magnitudes be F3, Fc, F p - 2) Represent each force in the Cartesian vector form. 3) Apply equilibrium equations to solve for the 3 unknowns.

Given: A 3500 lb motor and 3500 lb plate, as shown, are in equilibrium and supported by three cables and d= 4 ft. 10 ft Find: Magnitude of the tension in each of the cables. 4 ft 3 ft 3 ft 4 ft Plan: 1) Draw a free body diagram of Point A. Let the unknown force magnitudes be F3, Fc, F p - 2) Represent each force in the Cartesian vector form. 3) Apply equilibrium equations to solve for the 3 unknowns.

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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p 0::V * Asiacell liı. Homework#1... Homework: Four forces act on bolt A as shown. Resolve each force into rectangular components F = 80 N 20이 F = 150 N 30° A 15° F 100 N x VF = 110 N
F1 F2 F3 A b F4 D F5 Consider the following values: - a = 25 m; b 5 m; c = 25 m; d = 5 m; F1 = 4 kN; F2 = 5 kN; F3 = 6 kN; F4 = 7 kN; F5 = 8 kN; a = 30°, 0 = 60° %3D B = 30° 1] What is the resultant moment of the five forces acting on the rod about point A? a) - 75.8 kN.m b) 32.7 kN.m c) - 14.6 kN.m d) 72.9 kN.m e) 27.1 kN.m - 66.1 kN.m 2] What is the resultant moment of the five forces acting on the rod about point B? a) - 198.8 kN.m b) 212.7 kN.m c) - 121.6 kN.m d) 98.9 kN.m e) 125.4 kN.m f) -170.2 kN.m 3] What is the resultant moment of the five forces acting on the rod about point C? a) - 96.7 kN.m b) 251.1 kN.m c) - 114.6 kN.m d) 217.9 kN.m 154.1 kN.m f)-177.7 kN.m 4] What is the resultant moment of the five forces acting on the rod about point D? a) - 198 kN.m b) 127 kN.m c) – 219 kN.m d) 369 kN.m e) 151 kN.m f) - 171 kN.m Activate V 5] What is the moment of the force F2 about point E? Go to Setting
An eye bolt is used to attach 3 cables to a steel plate. The tension in the three cables create F,=200 Ibf, F2=250 lbf, and F3=100 lbf with 0 = 30 degrees and p=27.1 degrees. If the eye bolt is in equilibrium, what is the x-component of the sum of other forces (reaction force) on the bolt? If you add up the three force vectors, the reaction force you are looking for will just be in the opposite direction to put the eye bolt in equilibrium. The x-direction is positive and to the right. Eye bolt rsteel plate Nut & Washer
3-In the scheme below, 4 objects are hanging from each of the rings and 5 ropes (blue) keep the entire scheme in balance. The known values are m1=30 kgm1=30 kgα=60ºα=60ºβ=30ºβ=30ºγ=70º a) Attach the force diagram on each of the rings with the graphical decomposition of the forces that are not exclusively on the Cartesian axes. b) Determine the tractions T1, T2, T3, T4 and T5. c) Determine the mass of weights 2, 3, 4 and 5. Tip: If you feel comfortable, use software to solve the systems of equations.
Two forces are applied to a hook. Variable F₁₂ Ą a b FR= d FR=( Q= B. values for the figure are given in the following table. Note the figure may not be to scale. value 75 lb 35 lb 2.5 ft B= Y = 4.5 ft 9 ft 1 ft Z a. write each force (F₁,F) as cartesian vectors. b. Find the resultant force FR express as a cartesian vector c. Find the magnitude of the resultant force FR i. a ii. B iii. Y Round your final answers to 3 significant digits/figures. Submit Question → d. Determine the coordinate direction angles of the resultant force FR lb 13/12 a degrees F₂ degrees F₁ degrees A A) lb y e) lb Alb
F1 F2 a C F3 A B b F4 D E Consider the following values: - F5 a = 25 m; b = 5 m; c = 25 m; d = 5 m; F1 = 4 kN; F2 = 2 kN; F3 - a = 30° , 0 = 60°, B = 30° 5 kN; F4 = 7 kN; F5 = 3 kN; %3D 1] What is the resultant moment of the five forces acting on the rod about point A?
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
F1 F2 F3 A B d b F4 D F5 Consider the following values: - a = 25 m; b = 5 m; c = 25 m; d = 5 m; F1 - 6 kN; F2 - 7 kN; F3 = 8 kN; F4 - 9 kN; F5 - 10 kN; a = 30°, 0 = 45° , B = 60° 1] What is the resultant moment of the five forces acting on the rod about point A? a) - 154.8 kN.m b) 111.9 KN.m c) - 174.6 kN.m d) 162.9 kN.m e) 214.1 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) - 209.3 kN.m b) 215.7 kN.m c) 311.6 kN.m d) - 98.9 kN.m e) 125.4 kN.m f) - 124.2 kN.m 3] What is the resultant moment of the five forces acting on the rod about point C? a) - 204 kN.m b) 121 kN.m c) 146 kN.m d) - 279 kN.m e) 241 kN.m D- 353 kN.m 4] What is the resultant moment of the five forces acting on the rod about point D? a) – 212.7 kN.m b) 182.7 kN.m e) - 21.9 kN.m d) 36.9 kN.m e) - 27.1 kN.m ) 30.1 kN.m 5] What is the moment of the force F2 about point E? a) 100.3 kN.m b) 118.1 kN.m c) 224.6 kN.m d) 193.1 kN.m e) 151.1 kN.m ) 221.3 kN.m E.
Choose the following systems that are equivalent to the one shown. Choose all that apply. (Remember conditions for equivalency require the sum of forces to be equal and the sum of moments about on arbitrary point to be equal) 20 lb 50 lb-ft 10 lb OA. B. OC. OD. 2 ft 90 lb-ft 20 lb 2 ft 30 lb 20 lb 2 ft 30 lb 20 lb 2 ft 2 ft 2 ft 5 lb 30 lb 2 ft 30 lb-ft 2 ft 30 lb-ft 2 ft 15 lb 2 ft
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 a F3 A B d b F4 E F5 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°, e = 60° %3D B = 30° %3D 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 c) - 13.5 kN.m d) 7.9 kN.m e) 24.1 kN.m f) - 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 c) 111.6 kN.m d) - 98.9 kN.m e) 85.4 kN.m f) - 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 c) 155 kN.m d) 279 kN.m e) 423 kN.m f) 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 c)– 211.9 kN.m d) 126.9 kN.m e) - 27.1 kN.m ) 125.1 kN.m Activate 5] What is the moment of the force F2 about point E? Go to Setting f) 32.3 kN.m a) 11.7 kN.m b) 19.8 kN.m c) 54.6 kN.m d) 9.1 kN.m e)…
F1 F2 a F3 A d. F4 E Consider the following values: - a = 11 m; b = 6 m; c = 8 m; d = 3 m; F1 = 3 kN; F2 = 11 kN; F3 = 2 KN; F4 = 20 kN; F5 = 2 kN; F5 a = 30° , 0 = 60° ,B= 30° 1] What is the resultant moment of the five forces acting on the rod about point A? a) -1.2 kN.m b) 12.7 kN.m c) - 4.6 kN.m d) 22.9 kN.m e) - 14.1 kN.m f) 21.3 kN.m 2] What is the resultant moment of the five forces acting on the rod about point B? a) 28.8 kN.m b) 42.7 kN.m c) - 1.6 kN.m d) 10.9 kN.m e) - 1.1 kN.m f) 24.2 kN.m 3] What is the resultant moment of the five forces acting on the rod about point C? a) 63.6 kN.m b) -11.1 kN.m c) 77.4 kN.m d) - 9.1 kN.m e) 24.1 kN.m f) - 85.3 kN.m 4] What is the resultant moment of the five forces acting on the rod about point D? a) 33.6 kN.m b) 83.4 kN.m c) - 1.6 kN.m d) 52.1 kN.m e) 21.1 kN.m f) - 40.1 kN.m 5] What is the moment of the force F2 about point E? a) 80.6 kN.m b) - 8.1 kN.m c) 54.6 kN.m d) 33.1 kN.m e) - 22.1 kN.m f) 28.3 kN.m