QI. (a) Determine the magnitudes and coordinate direction angles of F3 so that the resultant force of the three forces is zero. Refer figure QI(a) below. F1 = 400N 40 30 F2 = 600N %3!
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- 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 boF1 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= 35 N, F2 = 10N, F3 =5 N, F4 =35N, F; = 40N , F6 = 10N & F7 =80N. The angles e, =15°, e; =40° , e, = 40°, es = 40 ° Find the magnitude and direction of the resultant force for the system of forces shown in the figure. Where F1 F2 F3 F1 F4 F7 Fs F6
- R is the resultant coplanar-concurrent forces composing of P, T, F, and each Q acting on a body. Find the magnitude of the fourth force Q and its angle with respect to horizontal, if P = 840N directed downward to the left at 20 degrees with the vertical, T = 890N is acting to the right along the horizontal, F = 530N is up to the right at 45 degrees with the horizontal and R = 1300N acting downward to the right 30 degrees with the horizontalR is the resultant coplanar-concurrent forces composing of P, T, F, and each Q acting on a body. Find the magnitude of the fourth force Q and its angle with respect to horizontal, if P = 840N directed downward to the left at 20 degrees with the vertical, T = 890N is acting to the right along the horizontal, F = 530N is up to the right at 45 degrees with the horizontal and R = 1300N acting downward to the right 30 degrees with the horizontal. Show your answers in graphucal and analytical methodQ4b. Force vectors F1 and F2 act on body Pwith the resultant force vector R. The resultant force R= 575 N and the angle between Rand the x-axis is of 320. If F1 = 275 N and the angle between F1 and the x-axis is 560, determine the angle between F2 and the x-axis. *Assume coplanar vector forces and give your answer in degrees to two decimal places. Body, P Answer: y F1 R F2
- Find the magnitude and direction of the resultant force for the system of forces shown in the figure. Where F1 =20 N, F2 =25N, F3 =10 N, F4 =20N, F5 = 50N & F6 =70N. The angles ϴ2 =25ᵒ, ϴ3 =35ᵒ , ϴ4 = 20ᵒ, ϴ6 = 35 ᵒ (1) The horizontal component of the given system (unit is in N) = (2) The Vertical component of the given system (unit is in N) = (3) The resultant of the given force system is (unit in N) = (4) The direction of Resultant is (degrees) =_Find the magnitude and direction of the resultant force for the system of forces shown in the figure. Where F1 =10 N, F2 =30N, F3=20 N, F4 =30N, F5 = 70N & F6 =70N. The angles ϴ2 =15ᵒ, ϴ3 =25ᵒ , ϴ4 = 30ᵒ, ϴ6 = 25 ᵒ find (1) The horizontal component of the given system (unit is in N) = __________ (2) The horizontal component of the given system (unit is in N) = __________ (3) The resultant of the given force system is (unit in N) = (4) The direction of Resultant is =Determine the magnitude of the resultant force (in N) of the coplanar force system shown in the figure below where the horizontal force P = 222 N and the couple M = 610 Nm. M N m A 150 N 300 mm -250 mm- P N 400 mm 90 N Answer: Determine the angle (in degrees) that the resultant makes with the positive x-axis, which is in the same direction as the horizontal force P. Answer: If the resultant force calculated in Q8 is placed at A, determine the magnitude of the couple created in Nm. Answer: Determine the distance from A (in m) at which this resultant should be placed so that the system is replaced entirely by a single force. Answer: If the resultant force calculated in Q8 is placed at O, determine the magnitude of the couple created in Nm. AnSwer. Determine the distance from O (in m) at which this resultant should be placed so that the system is replaced entirely by a single force. Answer:
- F1 F2 a F3 A d. F4 E Consider the following values: - F5 a = 25 m;b = 5 m; c = 25 m; d = 5 m3; F1 = 5 kN; F2 = 6 kN; F3 = 7 kN; F4 8 kN; F5 9 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) - 78.4 kN.m b) 82.7 kN.m c) - 54.6 kN.m d) 92.9 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) - 201.6 kN.m c) 131.6 kN.m d) - 128.9 kN.m e) 215.4 kN.m f) - 144.2 kN.m 3] What is the resultant moment of the five forces acting on the rod about point C? a) - 186.7 kN.m b) 211.1 kN.m c) -209.1 kN.m d) 127.9 kN.m e) -174.1 kN.m f) 35.3 kN.mUntitled Section F1 F2 a C F3 A d F4 Consider the following values: - F5 a 12 m;b 10 m; c 12 m; d = 10 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) 110.8 kN.m b) 88.7 kN.m c) 214.6 kN.m d) 75.9 kN.m e) 25.1 kN.m f) 142.5 kN.m 2] What is the resultant moment of the five forces acting on the rod about point B? a) 78.8 kN.m b) 21.7 kN.m c) 341.6 kN.m d) 87.9 kN.m e) 161.1 kN.m f) 175.4 kN.m 3] What is the resultant moment of the five forces acting on the rod about point C? a) 425.7 kN.m b) 711.1 kN.m c) 414.6 kN.m d) 139.1 kN.m e) 144.1 kN.m f) 220.4 kN.m 4] What is the resultant moment of the five forces acting on the rod about point D? a) 174.8 kN.m b) 822.7 kN.m c) 120.6 kN.m d) 142.9 kN.m e) 217.1 kN.m f) 120.6 kN.m Activate V 5] What is the moment of the force F2 about point E? 69 te Setting ) 74.1 kN.m a) 25.7 kN.m b) 18.1 kN.m c) 54.6 kN.m d) 43.1 kN.m…Find the magnitude and direction of the resultant force for the system of forces shown in the figure. Where F1 =25 N, F2 =10N, F3 =30 N, F4 =55N, F5 = 10N & F6 =40N. The angles ϴ1 =25ᵒ, ϴ3 =20ᵒ , ϴ4 = 50ᵒ, ϴ6 = 25 ᵒ (1) The horizontal component sum for blank of H of the given system is (unit is in N) = (2) The vertical component sum for blank of V of the given system is (unit is in N) = (3) The resultant of the given force system is (unit in N) = (4) The direction of Resultant is (in degree) =