3.67 Replace the coplanar force system that acts on the casting with an equiva- lent force-couple system, with the force acting at (a) point O; and (b) point A. 90 lb 150 lb 4 ft 800 lb-ft 3ft 200 lb
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- If each of the force system shown is reduced to a force-couple system with the force acting at A, which force systems are equivalent? 400 N 200 N-m 400 N 200 N 4 m (a) (d) SCO N 200 N 2300 N.m A 1800 N.m 800 N 200 N.m 2400 N-m 4000 N-m 600 N 400 N 300 N (b) (e) (h) 900 N-m A 200 N 400 N.m 300 N D 300 N-m 300 N 300 N-m 800 N (c) (f) 900 N 4500 N.m 300 N-m 200 N4. For the force-couple system as shown, determine the following: Magnitude of the couple moment Mc so that the equivalent system is a single force acting at point P b. a. Point of application of the single equivalent force along line AB if MC is equal to 180 lb-ft counterclockwise. 85 lb 40 ° 100 16 30 lb 15° Mc 35 lb 400 P 1 ft A 85 lb B 1 ft 200 lb4 Replace the coplanar force system that acts on the casting with an equiva- lent force-couple system, with the force acting at (a) point O; and (b) point A. 600 lb ft A 200 lb 3 ft - 2.5 ft 260 lb 120 1b' 4 ft-
- Difficult Problem: If magnitude of MA is 1200 kN – m and the distance between A and B is 3 m, what is the force FB and distance d so that the system shown at the right is equivalent to a force-couple system acting at point D, where the horizontal component of this force is R = 112 kN to the right and the corresponding couple is 635 counterclockwise. 60 kN 30 50 kN 2 m MA 60° 15° 200 kN m 100 kN 4 m Fs 2 m 200 kN 30 60 kN -3 m2.79 The arm ABCD of the industrial robot lies in a vertical plane that is inclined at 40° to the yz-plane. The arm CD makes an angle of 30° with the vertical. A socket wrench attached at point D applies a 52-lb - ft couple about the arm CD, directed as shown. (a) Find the couple-vector that represents the given couple. (b) Determine the moment of the couple about the z-axis. 52 Ib- Figure P2.793.2 Two forces and a couple are applied to the beam in an attempt to lift it. Replace this force system by an equivalent force-couple system with the force acting at (a) point A; and (b) point B. 2m 36 kN b 3 m 20 kN 2 m B 94 kN-m X
- 3.1 Determine which of the force systems in (b) through (f) are equivalent to the force-couple system in (a). PLEASE BE SPECIFIC. I HAVE THE SOLUTION BUT I AM UNABLE TO COMPREHEND IT 10h 50 h- t0 10 lb 14 tb (a) (b) (e)3.104 Five separate force-couple systems act at the corners of a piece of sheet metal, which has been bent into the shape shown. Determine which of these systems is equivalent to a force F = (10 lb)i and a couple of moment M = (15 lb - ftj + (15 lb - ft)k located at the origin. 5 Ib-ft 15 Ib-ft 5 Ib-ft 5 lb-ft 15 Ib-ft 10 lb 10 lb 15 Ib-ft B 2 ft 25 Ib-ft 10 lb 80 lb-ft 2.5 ft 10 lb 15 Ib-ft 2 ft 10 Ib 2 ft' 15 Ib-ft Fig. P3.104 Lu6 in. 6 in. 160 lb-in. 18 in. B 30 lb 34 lb H 18 in. 12 in. D 6 in. 8 in. in. Determine whether the force-and-couple system shown can be reduced to a single equivalent force R. If it can, determine R and the point where the line of action of R intersects the yz-plane. If it cannot be so reduced, replace the given system with an equivalent wrench and determine its resultant, its pitch, and the point where its axis intersects the yz-plane.
- 1. Determine which of the force systems in (b) through (f) are equivalent to the force-couple system in (a). 10 Ib 50 lb ft 5ft 10 lb 8 lb - 4 ft- 3 ft 10 lb 50 lb ft 4 lb (b) (c) 10 lb 24 Ib ft 6 lb 5 lb 8 lb 80 lb- ft 8 lb 8 lb 4 lb 36 lb ft (d) (e) (f)For each of the six diagrams replace the forces with an equivalent force-couple system at A. Note which, if any, systems are equivalent 5 in. 4 in. 6 lb 3 lb 16 lb 2 lb y 3 in. 2 lb 4 lb 6 lb- in. (a) (b) 3 lb 2 lb 19 lb 13 lb- in. 1 lb. 3 lb 5 lb A 4 lb 25 lb- in. 3 lb 16 lb in. 3 lb 3 lb (d) (e) (f)(a) Replace the force system shown with a force-couple system with the force acting at point O. (b) Determine the wrench that is equivalent to this force system. Find the coordinates of the point where the axis of the wrench crosses the xy-plane. 200 lb 5 ft 250 lb 300 lb 2 ft- 300 lb 200 lb