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STATICS - CASE STUDY SOLUTION


Free Body Diagram Solution
 

It is best to choose a coordinate system that will simplify future calculations. In this case, there is no preferable system to choose, so we will keep the original coordinate system with the x axis parallel to the horizon, and the y axis vertical.

Next, isolate the object or point through which the forces act. This occurs on the cable where the car is connected.

To complete the Free-Body Diagram (FBD) all the forces need to be drawn. The tension forces in the cable are labeled T1 and T2 because they are not in the same direction nor are they equal. In addition, the cable car is symmetric about the y axis, and therefore the support forces will be equal in magnitude. These forces are labeled FS.

Now the angles need to be specified. But since the axis has not been altered, they will be exactly the same as before.

     

Alternate Diagram
  Alternate Free-Body Diagram

  Another free-body diagram, of the passenger car, could also be created. This diagram shows the weight of the car downward, and the force of the supports angled vertically. Details are given in the animation at the left.
     
   
 
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