Problem 1 Determine the resultant moment of the following force and couple system. 3 m 8 kN·m O P 3 m 6 kN 4 kN 4 m 5 m 13/12 60° A -4 m
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- The two forces of magnitude F=30kN form a couple. Determine the corresponding couple-vector.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.To lift the table without tilting, the combined moment of the four parallel forces must be zero about the x-axis and the y-axis (O is the center of the table). Determine the magnitude of the force F and the distance d.
- 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.The 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.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.
- The wrench is used to tighten a nut on the wheel. Determine the moment of the 120-lb force about the origin O. Express your answer in vector form.Determine 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.The force-couple system acting at O is equivalent to the wrench acting at A. If R=600i+1400j+700klb and |C|=1200lbft, determine CR.