  A 500-lb load hangs from three cables of equal length that are anchored at the points (-2,0,0), (1,31/2,0), and (1,-31/2,0). The load is located at (0,0,-2*151/2). Find the vectors describing the forces on the cables due to the load. What is the vector describing the force on the cable anchored at (-2,0,0)?

Question

A 500-lb load hangs from three cables of equal length that are anchored at the points (-2,0,0), (1,31/2,0), and (1,-31/2,0). The load is located at (0,0,-2*151/2). Find the vectors describing the forces on the cables due to the load. What is the vector describing the force on the cable anchored at (-2,0,0)?

Step 1

It is given that a load of 500-lb is hanged from three cables of equal lengths that are anchored at the points say, A, B and C respectively as shown.

Step 2

The point at which the load is located say D is,

Step 3

Note that, each cable is holding a weight of one third of 500 lb making an angle of 30 degree with the... help_outlineImage Transcriptionclose500 F 3 cos 30 1000 33 fullscreen

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Calculus 