The weight of the plate is 300-N.. The tension in cable AB is 350-N, and tension in cable CD is 550-N. a- Replace forces acting on the plate with a force-couple at point O. b-Show that if tension in cables was 360-N each, the two forces acting on the plate at B and C form a couple. Express this couple in vector form and find its magnitude.

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)

2. Two couples act on the frame as shown. If the resultant couple moment is zero determine the force F. -2 ft2 ft- F 2 ft 2 ft 2 ft 150 lb 30 B 4 4 A 5 3 3 5 F a 30° 150 lb

please box the answer

Need an explanation for these 2 problems

4. Reduce the given loading system to a force-couple system at point A. Then determine the distance x to the right of point A at which the resultant of the three forces acts. gON 72ON 200mm 500 mm 450 mm 1200N

For the next three questions, consider a column and footing assembly shown, where the soil incurs a couple of reaction force R to the footing at the bottom in response to the force P applied at the top of the column to maintain equilibrium. Force P is 5 kN. P 10 m R 2 R m 1. Which of the following is the equivalent couple-set of force P at the midpoint (A) of the footing assembly below?