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While cutting a piece of paper, a person exerts the two indicated forces on a paper cutter. Reduce the two forces to an equivalent force-couple system at corner O and then specify the coordinates of the point Pin the x-y plane through which the resultant of the two forces passes. The cutting surface is 20" x 20". 8 lb 25 lb 11" 8"

5. A force-couple system is as follows. Note that all dimensions are in ft. Also draw all pertinent diagrams as part of your solution. a. Scenario 1: If the force system shown is to be replaced by a force-couple system consisting of a force acting at A and a clockwise moment equal to 300 lb-ft, what is the magnitude and sense of M,? b. Scenario 2: If M, = 90 lbft counterclockwise, what should be the magnitude, direction, and point of application along AB of a force F that should be added to the system of forces shown if the system is equivalent to a single horizontal 10-lb force acting east at point B? 4.00 150 lb 70 200 lb 80 lb 3.00 3.00 70° 3.00 50 lb 200 lb Ma B 2.00 130 lb 30 Answer: a. M,=269.3083 lb-ft CW b. F= 194.0149 lb, 52.0548° S of W d= 0.3876 ft right of A

Question #2: Suppose you needed to replace the 2000 lb force in the figure below with a horizontally- oriented force through point A, a vertically-oriented force through point C, and a couple. Give the vector expressions for the forces through A and C as well as the vector expression for the couple. Your vector expressions will depend on your choice of coordinate system (which direction relative to the figure you choose for x, y, and z) so please be sure to show your coordinate system on your schematic and free-body diagrams. 2000 lb 30 B 5 ft A 2 ft

Two force couples and a concentrated 90 lb-ft couple on the beam. Assume the 90 lb-ft couple acts at the beam centerline and the distance 1.25 ft vertically between the 125 lb forces. Similar to the example presented in class, compute the resultant moment vector two different ways (the answers should be the same) A. Recognize force-couple pairs and use r x F between their lines of action, plus add in the couple-moment. B. Sum moments of all forces and moment couple about a point A   Please show/provide all written work so I can understand. Thank you!

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 distanced belew point A to its line of action. 100 N 470 mm 470 mm 290 N 470 mm 305 N Answers: Force-couple system at A. The force is positive if to the right, and the couple is positive if counterclockwise. R = i M = N-m Single resultant force. d = i mm

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. 130 N 450 mm 450 mm 450 mm 205 N Answers: Force-couple system at A. The force is positive if to the right, and the couple is positive if counterclockwise. R= i N M = i Single resultant force. d= i 160 N N•m mm

Question 2 of 2 View Policies -/1 E Current Attempt in Progress While cutting a piece of paper, a person exerts the two indicated forces on a paper cutter. Reduce the two forces to an equivalent force-couple system at corner O and then specify the coordinates of the point P in the x-y plane through which the resultant of the two forces passes. The cutting surface is 20" x 20". 8 lb 25 Ib 11" 8" 6" art 1

Current Attempt in Progress 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 290 N 265 N d = Single resultant force. i Force-couple system at A. The force is positive if to the right, and the couple is positive if counterclockwise. 120 N 570 mm 570 mm 570 mm N N-m mm

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Force P and couple M are applied at A as shown. 1. Suppose an equivalent system was made such that only force at B and a couple are present. What gives the magnitude of force at B and the couple in the equivalent system? 2. If the force P and couple M is to be replaced with a single force, where is the point of application of this single force along bar ABCD in order to have the same external effect as the original set of force P and couple M? (How many m to the left or right of B)