4-107. Replace the forces acting on the gear by an equivalent resultant force and couple moment acting at point O. 60° 3 kN 175 mm 20° 41 2.25 kN 40 175 mm x

Determine the resultant moment produced by the forces about point O. Assume F1 = 600N, F2 = 250N, F3 = 550N

Determine the required magnitude of force F, if the resultant couple moment on the beam is to be zero.

Replace the force system acting on the post by a resultant force and couple moment at point O. 150 lb 3 5 O 300 lb 30° 2 ft 2 ft 2 ft 200 lb

A force of F = 20 lb is applied to the bent pipe as shown. Assume h = 5 in., b = 15 in., a = 22°, and ß = 66°. Determine the moment of this force about point O. Give your answer in Ib-in. Enter a positive number if the moment is counter- clockwise or a negative number if the moment is clockwise. b F a

К mm L mm w FN A 14-N horizontal force is applied perpendicular to the handle of the socket wrench. Determine the magnitude of the moment created by this force about point O. K=200mm, L=80mm, and e = 30 degree.

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+

Determine the moment of the 205-lb force about point A and about point O. 43" A B 28" 34° F = 205 Ib

4-122. Replace the force system acting on the pipe. assembly by a resultant force and couple moment at point O. Express the results in Cartesian vector form. = F2 (-10i+25j+20k] 1b F₁ = {-201-10j + 25k) 1b 2 ft 2 ft 2 ft- 1.5 ft

Also, determine the y-component and z-component of the moment about point O. Express your answer in units of ft-lb.