3-65. If the magnitude of the couple moment acting on the pipe assembly is 50 N- m, determine the magnitude of the couple forces applied to each wrench. The pipe assembly lies in the x-y plane. 300 300 mm 300 mm 200 mg

QI: The 120-N force is applied as shown to one end of the curved wrench. If a= 55°, calculate the moment of Fabout the center O of the bolt. F=100N 70 25 mm L. 150M 25 mm mm mm

Replace the three forces shown by an equivalent force-couple system at point A. If the forces are replaced by a single resultant force, determine the distance d below point A to its line of action. Answers: R= i M= i 160 N 290 N d = Single resultant force. i www Force-couple system at A. The force is positive if to the right, and the couple is positive if counterclockwise. 300 N 650 mm 650 mm 650 mm N N.m mm

2-89. Determine the magnitude and coordinate direction angles of the resultant force acting at A. FB = 600 N 0.5 m 1 m 1.5 m B 2 m Fc= 450 N 0.5 m Prob. 2-89 1.5 m 3.5 m

If FA= 6 kN and FB=3 kN determine the magnitude of the resultant force (A) and specify the location of the resultant force on the x-y plane (B).

Express and identify the resultant of the two forces and one couple shown acting on the shaft angled in the x-z plane. Assume F = 350 lb, M = 310 lb-ft, a = 8 in., b = 22 in., 0 = 17% 10 F. a -M k) lb-in. i Answer: M = (i b F Ө i+ i j+

If the coordinate direction angles for F3 are α=120°, ³³=60° and y3=45°, determine the magnitude and coordinate direction angles of the resultant force acting on the eyebolt. (Ans: 1.55 kip, 82.4°, 37.6° and 53.4°). F₁ = 700 lb 1 F3 = 800 lb F₂= = 600 lb

If F = 300KN, determine the resultant couple moment. -2 m 2m F 30° 2 m 250 kNA 250 kN 2 m 30° 3. 2m

*2-88. Express each of the forces in Cartesian vector form and determine the magnitude and coordinate direction angles of the resultant force. 6 ft B 2 ft 13/12 5 ( 2.5 ft 4 ft- Prob. 2-88 F₁ = 80 lb F₂ = 50 lb y

2/162 Replace the two forces and one couple acting on the rigid pipe frame by their equivalent resultant force R acting at point O and a couple Mo. 50 lb 30 10" 40 lb-ft 60 lb 15" 12" y