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 Force Vectors Multiple Choice

 1 . Determine the magnitudes of the resultant force and its direction measured from the positive x axis. 2 . Determine the magnitude of the x and y components of the 2—kN force. 3 . Determine the magnitude of the x and y components of the 700-lb force. 4 . Determine the magnitude and direction of F so that this force has components of 40 lb acting from A toward B and 60lb acting from A toward C on the frame. 5 . Determine the design angle ( <90°) bretween the two struts so that the 500-lb horizontal force has a component of 600lb directed from A toward C. That is the component of force acting along member AB? 6 . If = 20° and = 35°, determine the magnitudes of F1 and F2 so that the resultant force has a magnitude of 20 lb and is directed along the positive x axis. 7 . The gusset plate G of a bridge joint is subjected to the two member forces at A and B. If the force at B is horizontal and the force at A is directed at = 30°, determine the magnitude and direction of the resultant force. 8 . Determine the design angle for connecting member A to the plate if the resultant force is to be directed vercially upward. Also, what is the magnitude of the resultant? 9 . Determine the magnitude of the resultant force by adding the rectangular components of the three forces. 10 . Determine the magnitude and direction of the resultant force. 11 . Determine the magnitude and direction of the resultant force. 12 . If F1 = F2 = 30lb, determine the angles and so that the resultant force is directed along the positive x axis and has a magnitude of FR = 20 lb. 13 . Express each force in Cartesian vector form. 14 . Express the force F1 in Cartesian vector form. 15 . Express the Force F2 in Cartesian vector form. 16 . The ball joint is subjected to the three forces shown. Find the magnitude of the resultant force. 17 . Determine the magnitude and direction angles of F2, so that the resultant of the two forces acts upward along the z axis of the pole and has a magnitude of 275 N. 18 . Force F acts on peg A such that one of its components, lying in the x-y plane, has a magnitude of 50 lb. Express F as a Cartesian vector. 19 . Specify the magnitude and direction angles 1, 1 and 1 of F1 so that the resultant of the three forces acting on the post is FR = {-350k}lb. Note that F3 lies in the x—y plane. 20 . Determine the magnitude and direction of the position vector r which points from point A to point B. 21 . The cord is attached between two walls. If it is 8 m long, determine the distance x to the point of attachment at B. 22 . Express force F as a Cartesian vector; then determine its direction angles. 23 . The antenna tower is supported by three cables. The forces in these cables are as follows: FB = 520 N, FC = 680 N, and FD = 560 N. Write the resultant of these three forces as a vector. 24 . The cable AO exerts a force on the top of the pole of F = {—120i — 90j — 80k} lb. If the cable has a length of 34 ft, determine the height z of the pole and the location (x,y) of its base. 25 . Determine the angle between the pole AC and the wire AB. 26 . Determine the projection of the position vector r along the aa axis. 27 . Cable BC exerts a force of F = 28 N on the top of the flagpole. Determine the projection of this force along the positive z axis of the pole. 28 . Two forces act on a block. Determine the angle between them. 29 . What is the projection of the force F2 along the positive axis? Answer choices in this exercise are randomized and will appear in a different order each time the page is loaded.

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