Replace the three horizontal forces and applied couple with an equivalent force—couple system at O by specifying the resultant R and couple
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Engineering Mechanics: Statics
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- When the three forces are replaced by an equivalent force-couple system with the force at point O, the couple vector CR is directed parallel to the x-axis. Determine F and the resultant force-couple system.arrow_forwardThe 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.arrow_forwardThe two forces of magnitude F=30kN form a couple. Determine the corresponding couple-vector.arrow_forward
- 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.arrow_forwardDetermine the moment of the force F about point A in terms of F and d. Use (a) the scalar method; and (b) the vector method.arrow_forwardThe tensions in the cables supporting the pole are T1=T2=T3=60kN. Replace the cable tensions with an equivalent force-couple system with the force acting at O. Express your answer in vector form.arrow_forward
- The combined moment of the three forces is zero about the axis a-a and the axis b-b. Determine the distances x0 and y0.arrow_forwardDetermine the magnitude of the moment of the 150-N force about point O. Also find the perpendicular distance between the line of action of the force and point O (as in M = Fd).arrow_forwardSituation 6. Determine the resultant force R and its line of action for the following force-couple systems: y (a) F = 300 N, F, = 0, and C = -300 N – m (b) F = 200 N, F, = -200 N, and C = 800 N – m (c) F = -600 N, F, = -400, and C = -0 %3D %3D Fy %3D %3D Fxarrow_forward
- 2/71 Replace the three horizontal forces and applied couple with an equivalent force-couple system at O by specifying the resultant R and couple Mo. Next, determine the equation for the line of action of the stand-alone result- ant force R. 70° 0.3 m 4 kN 15 kN-m -0.5 m 6 kN 0.3 m PROBLEM 2/71 1.5 m 10 kNarrow_forwardNeed asaparrow_forwardDetermine the equivalent force-couple system at the origin O for each of the three cases of forces being applied along the edges of a regular hexagon of width d. If the result ant can be so expressed, replace this force-couple system with a single force: F F (a) (b) (e)arrow_forward
- International Edition---engineering Mechanics: St...Mechanical EngineeringISBN:9781305501607Author:Andrew Pytel And Jaan KiusalaasPublisher:CENGAGE L