15 m 3 m 10.5 m
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- 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.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 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.Determine 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).
- 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 trap door is held open by the rope AB. If the tension in the rope is T = 60 lb, determine its moment about the y-axis.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 force F=18i12j+10kN is applied to the gripper of the holding device shown. Determine the moment of F about (a) the a-axis; and (b) the z-axis.C0nsider the frame bel0w where f0rce A = 55 N acts 0n point Q, force B = 34 N acts 0n p0int P, and f0rce C = 42 N acts on point M. Replace the system of f0rces acting on the frame with an equivalent force-c0uple system acting at point O. Calculate for the moment of the c0uple of transfer and magnitude and direction of the resultant f0rceThe turnbuckle is tightened until the tension in cable AB is 1.2 kN. Calculate the magnitude of the moment about point O of the force acting on point A.