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- 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.The forces P and Q act on the handles of the wrench. If P = 321b and Q = 36 lb, determine the combined moment of the two forces about the z-axis.Find the internal force systems acting on sections 1 and 2.
- 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.Determine the moment of the force F=9i+18jlb about point O by the following methods: (a) vector method using rF; (b) scalar method using rectangular components of F; and (c) scalar method using components of F that are parallel and perpendicular to the line OA.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 three forces of magnitude P can be replaced by a single, equivalent force R acting at point A. Determine the distance x and the magnitude and direction of R.Determine the resultant force or resultant couple for each of the line loads shown. In each case the loading is normal to the line and has constant intensity w0.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 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 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.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.