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 = 500 lb, M-490 lb-ft, a=8 in., b=22 in., 0 = 12°
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- Can I have the method in vector mathematics. In lifting a heavy box, a man uses a block and tackle attached to the bottom of an I beam at hook B. The man applies 195 N force to end A of the rope. Given: X1 : 2.943 m Z1 : 1.655 m Z2 : 4.167 m a.) Determine the value of Y1 if the z-component of the moment at the origin is 254.558 N·m b.) Determine the x-component pf the Force Vector F. c.) Determine the mass of the box. If you believe that there is no possible way to solve the problem, justify on why the problem is invalid.20 KN 2 kN /m 40 kN m 150 kN m 450 mm- 600 mm 8m 3m 300 mm 5KN 3 KN /m +15 m--1.5 m- 3m S kip t 15 kip ft 15 kip ft 6 ft 10 t 6 ft Determine the moment of the force system of Figure below with respect to point A and BExpress 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 you know that the moment of the force F about point A should look like the formula: M, i+ M,j• M, k, what is the value of the M,? knowing that the force vector equals to: F= -160.11 + -624.2) + 867Ak lb Note: Your answer should contain only numbers, not units. F B 8 ft 1.5 ft 0.25 ftExpress and identify the resultant of the two forces and one couple shown acting on the shaft angled in the x-z plane. Assume F = 500 lb, M = 490 lb-ft, a = 8 in., b = 22 in., 0 = 12° -M Answer: M=1 İ+ i 12.57 k) lb-in. -21.52 İ+ i 300HOME WORK 3 Determine the resultant force at A. for the figure below Hint : 1- Find the position of all points A,B,C (x, y, z) 2- Find FAR and FAC 3- Find |raR| and Iracl 4- Find FAR = F UAB and FAC = F UAC 5- Finally find R and a, B,Y 3m Fc= 500N FB= 500N 3m 5m 3m B 4m 2m 5m
- Q: Represent the resultant of the three forces and one couple by an equivalent force R at A and a couple M. find M and the magnitude and direction ofR* -30 400 lb 3' 1000 lb-ft A B 800 lb 6'- 300 lb O R=677N, M-1131 ib-ft, theta= 41.2 degree O R=675N, M=1136 ib-ft, theta= 42.2 degree R=676N, M=1132 ib-ft, theta= 40.2 degreeFive forces and a couple act on the plate shown in the figure . - Find the resultant ( R ) Of the four forces , and its angle (e). - Locate it with respect to point ( O). - Show where the resultant cuts both the x - and y- axes. 400KN 7m 1o0 KN 6 m lom 800 KN-m V150 KN 18m 7200KN 100 KN L 8 m2/121 A 50-lb force is applied to the control pedal as shown. The force lies in a plane parallel to the x-z plane and is perpendicular to BC. Determine the moments of this force about point 0 and about the shaft OA. Ane. Mo - -90.6i - 690j - 338k lb-in. MOA = -690 lb-in. 7" 15 50 lb
- Replace the forces and couple moment system acting on the structure shown in the figures below by an equivalent resultant force, and find its perpendicular distance measured from point A. 1- 3 m 5 kN.m 2.5 m 30 kN 10 kN/m 3 m 4 m 6 m 2- 2.5 m 10 kN.m 25, kN 2.5 m B. 10 kN/m 3 m 4 m 5 mConsider the given values for the force system shown: xA = 9 ft xB = -12 ft xC = 7 ft yA = 3 ft yB =10 ft yC = 2 ft zA = 1 ft zB = -9 ft zC = 11 ft A. Determine the angle θ between AB and AC. B. Determine the minimum distance from point B that passes through AC.Q. 5 Find the resultant and its location w. r. t. point A for the force system given in the figure below- 50N 3 m 20 N 4 m 30N