Identify the direction of the resultant of the system of concurrent forces having the following magnitudes and passing through the origin

The pipe assembly is subjected to the action of a wrench at B and a couple at A. (Figure 1) Simplify this system to a resultant wrench. Set F = 40 N.  a) Determine the components of the resultant force of the wrench. Enter the x, y, and z components of the force separated by commas. Express your answers in newtons to three significant figures.  b) Determine the components of the resultant moment of the wrench. Enter the x, y, and z components of the moment separated by commas. Express your answer in newton-meters to three significant figures.  c) Specify the location of the wrench along the axis of pipe CD��, measured from point C�. Express your answer to three significant figures and include the appropriate units.

F1 F2 a C F3 d. F4 E B 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 = 60°, B= 45° 4] What is the resultant moment of the five forces acting on the rod about point D? a) - 177.8 kN.m b) 182.7 kN.m c) 121.9 kN.m d)- 228.6 kN.m e) -297.1 kN.m ) 230.1 kN.m Activate I 5] What is the moment of the force F2 about point E? c) 254.6 kN.m Go to Setting ) 321.3 kN.m a) 111.7 kN.m b) 218.1 kN.m d) 123.7 kN.m e) 101.1 kN.m

Q3a. Force vectors F1 and F2 act on body P with the resultant force vector R. The resultant force R = 350 N and the angle between R and the x-axis is of 35°. If F1 = 180 N and the angle between F1 and the x-axis is 72°, determine the magnitude of F2. Assume coplanar vector forces and give your answer in newtons (N) to two decimal places. F1 R F2 Body, P Answer:

Fig.4 shows the coplanar system of forces acting on a flat plate. Determine the resultant and its location with respect to A. 1500N 600 2m 1800N 1m 30 C D 3m A 4m B 65° Fig. 4 2500N

F2 F3 F4 Consider the following values: - F5 a = 25 m; b = 5 n; a = 25 m; d = 5 m; F1 - 6 kN; F2 - 7 kN; F3 - 8 kN; P4 - 9 kN; PS - 10 kN; a- 45. 0-60 , - 30 1) What is the resultant moment of the five forces acting on the rod about point A? a)- S8S KNm b) 12.7AN.m 9-7.1 KNm 029AN.m ) 24.1 KN.m 0-47.1 AN.m 2) What is the resultant moment of the five forces acting on the rod about point B? a) 108 LNm 9- 191 KN.m ) 124 AN.m b) 227 AN. 4) 155 LN.am 9242 N. 3) What is the resultant moment of the five forces acting on the rod about point C? 0 35.3 KN.m )- 9.7 KN.m b) 151.I KNm 0-2088 KN.m )2179 KN.m )-1741 KN.am 4] What is the resultant moment of the five forces acting on the rod about point D? )- 217.5 AN. b) 182.7 AN )- 198.5 KN.m 4) 136.9 kN.m ) - 287.1 kN. H 310.1 ka 5] What is the moment of the force F2 about point E? a) 111.7 KN.m b) 218.1I KN.m ) 138.7 KN.m d) 193.1 KN.m e) 101.1 KN.m 0 321.3 KN.m

Problem 2 For the system of forces shown to the right, complete the following: a) Represent force F1 in Cartesian notation b) Represent force F1 in scalar notation (use cylindrical coordinate directions and y) c) Represent force F2 in Cartesian notation d) Determine the magnitude of the resultant of the forces D 120% 60° This line is parallel to the x-axis F₂ = 400 N 45° This area is in the x-y plane y 35° F₁ = 25° = 250 N This line is parallel to the z-axis