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A rectangular plate is supported by three cables as shown. knowing that the tension in cable ab is 408 n, determine the components of the force exerted on the plate at

b.

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sqdancefan

Answer:

  (192i +288j -216k) N

Explanation:

The un-normalized vector BA is ...

  320i +480j -360k

Then the normalized vector is ...

  (8i +12j -9k)/√(8² +12² +(-9)²) = (8/17)i +(12/17)j -(9/17)k

The cable tension multiplies this to give the components of cable tension:

  (408 N)((8/17)i +(12/17)j -(9/17)k) = (192i +288j -216k) N

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