Replace the force system by an equivalent resultant force and couple moment at point O. Set F= 20 lb. y +2 in. 6 in. 20 lb 40° 30° 1.5 in. X 16 4 3 F JAC

8.3. Determine the magnitude of the resultant force. Determine the angle between the resultant force and the x axis. And finally determine the couple moment acting at point A.

Pr

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

45° F = 80 lb 3 ft 7 ft X B Z 1.5 ft A oo 100 4 ft 1.5 ft 5 ft D 1 Compute the moment of the force about the axis AB

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 P= 20 lb in the figure, replace the three couples with a single equivalent couple, specifying its magnitude and the direction of its axis.

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

Replace the force system acting on the post by a resultant force and couple moment at point O. Take F1 = 310 lb and F2 = 225 lb . A) Replace the force system acting on the post by a resultant force and couple moment at point O. Take F1 lb and F2 = 225 lb . FR = ? B) Determine the angle between the resultant force and the x axis. θ = ? C) Determine the equivalent resultant couple moment about the point O. MO = ?

find the sum of the moments of the Forces in kN.m about Point O, (positive in the counter- clockwise direction). F1 = 60 kN and F2 = 22 kN. 15 m 9 m F1 kN F2 KN