
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 700lb 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 500lb 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 F_{1} and F_{2} 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 F_{1} = F_{2} = 30lb, determine the angles _{} and _{} so that the resultant force is directed along the positive x axis and has a magnitude of F_{R} = 20 lb.


13 . 

Express each force in Cartesian vector form.


14 . 

Express the force F_{1} in Cartesian vector form.


15 . 

Express the Force F_{2} 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 F_{2}, 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 xy 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 F_{1} so that the resultant of the three forces acting on the post is F_{R} = {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: F_{B} = 520 N, F_{C} = 680 N, and F_{D} = 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 F_{2} along the positive axis?


Answer choices in this exercise are randomized and will appear in a different order each time the page is loaded.
