In the system shown, it is found that the force multiplier of force Facting from B to D is Fm 200 KN/m and that of force P acting from A to E is Pm - 162.7 KN/m. Find the component of each force along AC. What angle
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- 3m Find the rectangular representation of the force F, given that its magnitude 240 N. * F = -135.76 i+ 169.71 j– 101.82 k F = 135.76 i + 169.71 j+ 101.82 k F = 135.76 i - 169.71 j+ 101.82 k F = -135.76i+ 169.71 j+ 101.82 kp 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 NHOME WORK 3 Determine the resultant force at A. for the figure below Hint : 1- Find the position of all points A,B,C (x, y, z) 2- Find FAR and FAC 3- Find |raR| and Iracl 4- Find FAR = F UAB and FAC = F UAC 5- Finally find R and a, B,Y 3m Fc= 500N FB= 500N 3m 5m 3m B 4m 2m 5m
- 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.mQl:- For the two force systems shown below, find the following: 1. The resultant force and its directions. 2. The resultant moment about the origin. 3. The resultant moment with respect to line OA shown below. 26 A F,- 300 Ib 4 f 700H 2 ft F S00 Ib 15 in. 8 in. 8 in. to kip 15 in. F2= 20 kip 5 in. F = 25 kipF1 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
- 5. A person pulls on a rope with a force of 100 lbs as shown below. What is the moment about point A as a result of this pulling force? Answer: 3034 ft-lb CW 200 le 10 ft 18 ft Gin A * 40 ft SAQ2:- For the block shown in the figure below, the 40 lb. force is passing through points EF, the 50 Ib. force is passing throuch points JB, and the force 20 lb. is passing through point C. 1. Find the resultant force and its directions. 2. Determie the resultant moment of three forces in Figure about the x-axis, the y-axis, and the z-axis. 20 ib 50 lb 40 lb 3 dimensions in inchQI) At point A, the four forces Fs, Fc, Fp and Fe act, the lines of action for these forces are given by the straight lines AB, AC, AD and AF, as shown in Figure 1. Coordinate the points are: A 3 B 2. D 4 12 cm Figure 1 The magnitudes of the forces are: F7 KN, F= 3 KN, F=9 KN and F= 13 KN. Represent this force Facting on the point 4 as a Cartesian vector and determine its direction.
- 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:touch & OL166% 00:27 MENG250 - Practice Assi... Not saved yet •2-77. Determine the magnitude and coordinate direction angles of F, so that the resultant of the two forces is zero. Y2 B2 a2 y 60° 15°. F= 180 N Oa = 1.2 m b = 1,8 m c = 4 m Force AB = 500 Newtons FAB Find the y-component of Force AB in N. If the calculated answer is not whole number, express it in 4 significant figures. If the value is negative, include a negative sign. Find the z-component of Force AB in N. Find the Projected Force to direction AC in N. (Hint: Dot Product).