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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 xy 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? 



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