Problem 4: A force-couple system acts at O on the 60 circular sector. Determine the magnitude of the force F if the given system can be replaced by a stand-alone force at corner A of the sector.

Determine the equivalent force-couple system at the origin O for each of the three cases of forces being applied along the edges of a regular hexagon of width d. If the result ant can be so expressed, replace this force-couple system with a single force: F F (a) (b) (e)

Determine the couple-vector that is equivalent to thethree couples acting on the gear box, given that C1 = 200 lb.in, C2 = 140 lb.in, C3= 220 lb.in

For the system of forces shown, find the equivalent force-couple system at A. If a single equivalent force were to act at D, determine the length from B to D. Note that based on the figure, since there is no given angle for the 150 N force, the manner of 120 N 100 N 60 N B 1m 270 N-m 150 N 120 N D 1 m 0.5 m 0.5 m 2 m which the distance is indicated in the figure suggests that the 150 N force is perpendicular to the 30° arm of the bar system. A 30°