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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)?

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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.

(2,0,0),(1.3.0) and (5,0)
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(2,0,0),(1.3.0) and (5,0)

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Step 2

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

(0,0,-25)
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(0,0,-25)

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Step 3

Note that, each cable is holding a weight of one third of 500 lb making an angle of 30 degree with the...

500
F
3 cos 30
1000
33
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500 F 3 cos 30 1000 33

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Tagged in

Math

Calculus

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