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- 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.The trapdoor is held in the horizontal plane by two wires. Replace the forces in the wires with an equivalent force R that passes through point A, and determine the y-coordinate of point A.The force-couple system consists of the force R=250i+360j400kN and the couple-vector CR=1200i+750j+560kNm. Determine the equivalent wrench and find the coordinates of the point where the axis of the wrench crosses the xy-plane.
- The pole OB is subjected to the 6004b force at B. Determine (a) the rectangular components of the force; and (b) the angles between the force vector and the coordinate axes.250 N 200 mm 20 mm E 40 mm 100 mm 50 N 160 mm 120 N 300 N Four forces are applied to the machine component ABDE as shown. Replace these forces with an equivalent force-couple system at A.The force-couple system shown acts on a trapezoidal plate. a. Determine the value of M1 if the system shown is equivalent to a single force acting at point C. b. The system shown is equivalent to a force-couple system consisting of R and M2 = 3000 kip-in clockwise. If M1 in this case is 120 kip-in counterclockwise, determine the point of action of the resultant force R along line CD.
- (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 lbThe indicated force-couple system is applied to a small shaft at the center of the plate. Replace this system by a single force R and specify the coordinate x of the point on the x-axis through which the line of action of this resultant force passes.The force-couple system shown acts on a trapezoidal plate.a. Determine the value of M1 if the system shown is equivalent to a single force acting at point C.b. The system shown is equivalent to a force-couple system consisting of R and M2 = 3000 kip-inclockwise. If M1 in this case is 120 kip-in counterclockwise, determine the point of action of theresultant force R along line CD.
- Replace the 150-N force by an equivalent force-couple system at A.4 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-Determine (in N-m) the magnitude of the moment of the 400-N force about the DH axis.