First, we write vectors for given forces and the couple:
Now, Resultant force is given by:
Couple due to F1:
Couple due to F2:
Couple due to F3:
total Couple:
Let the point P in xy plane where the equivalent system intersects be:
Question 3 Forces F1, F2, F3, and F4 and the moment of a couple Mc are acting on a 3D rigid body as shown in Fig. 3. Convert this force and moment system into a single resultant force passing through Point F and an equivalent turning moment. Calculate both the resultant force at F and the corresponding turning moment as vectors. Further, reduce the force and moment system at F into a wrench resultant and calculate the turning moment of...
Determine the magnitudes of F1, F2, and F3 for equilibrium of the particle. The applied forces and Q are applied at point O. Given P = 2.8 + xx (kN) and Q = 8.5 + xx (kN), where xx is the last two digits of your student ID number. If your student ID is 6x-XXXXXX-xxx1-2, P = 2.8 + 12 = 14.8 kN and Q = 8.5 + 12 = 20.5 kN. F2 30° 25 15 P 1.1 Force Q...
The loads Fi 450 lb and F2 150 lb. Determine the axial forces in members AB, AC. and BC. The Unstreched lenmth of the Spnins is GP Fi 6 ft 3 ft K-ISo Ib/ft
The loads Fi 450 lb and F2 150 lb. Determine the axial forces in members AB, AC. and BC. The Unstreched lenmth of the Spnins is GP Fi 6 ft 3 ft K-ISo Ib/ft
PROBLEM 4: (8 Points) 3 Forces are applied to the bar as shown. Determine: a. The Moment of Force Fi about Point B. b. The Moment of Force F2 about Point A c. The Moment of Force F3 about Point C. d. The Moment of Force F3 about Point E F3 150 N A F120 N 120 mm 160 mm F 90 N 250 mm 200 mm 140 mm-
Part A Determine the resultant moment produced by the forces about point 0. Asuume Fi = 310 lb, F3 = 200 lb . (Figure 1) Express your answer to three significant figures and include the appropriate units. Figure < 1 of 1 > UA ? Mo = Value Units 6 ft F2 Submit Request Answer 6 ft 30° F 30 Provide Feedback
2. The gear pictured below is acted on by forces F, 200-lb and F2 120-lb, respectively, at (0, 0, 0). a. Find the resultant force acting on the gear and express it in b. Determine the moment created by the resultant force about point c. Determine the magnitude of the moment created by the resultant Cartesian Vector Notation. A. force about the gear's axis of rotation if the gear's axis passes through the following points: A (5 in, -4 in,...
The three forces F1, F2 and F3 act on a hook at the angles
α1, α2 and α3 as shown in the figure.
1.) Find the x component of the resultant force in pounds:
2.) Find the y component of the resultant force in
pounds(Fr):
The three forces F1, F2 and Fs act on a hook at the angles a1, a2 and a3 as shown in the figure. F2 F3 a3 COLLAPSE IMAGES F1-103 lb F2-227 lb F3-286 lb ai-38...
3* Question #2 (5 pts): In the figure at right, replace the forces and couple acting on the structural member shown with an equivalent force-couple system at point G. Use the following values: Fi -100 lb, F 90 lb, F-120 lb, and C- 200 lb-ft.
Find the forces (F1,F2,F3 lb) in Fig. 364.
(A=26, B=34, C=77) deg,
(D=3, E=5, F=6) ft,
F4=3740 lb
Find the forces (F1,F2,F3 lb) in Fig. 364. (A=26, B=34, C=77) deg, (D=3, E=5, F=6) ft, F4=3740 lb
0.6 F100jN 0.2 10.6 8. The magnitudes of the forces are Fi- 20.0 kN, F2-80.0 kN, F3 57.0 kN, and F4 36.0 kN. Calculate the resultant of the force system, and express it as a force and a couple moment with respect to the point Calculate the angle between FR and MRA. Explain why this system cannot be simplified in the same way as Problem 6. 1.0 1.0 0.1 All dimensions in meters 0.6 0.3