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Kailes M.

asked • 11/18/15

Find the tension in each cable necessary to keep the block from moving (either sideways or downward)

A 900-lb block is being suspended and held stationary by two steel cables as shown.  The first cable (to the left of the block) makes a 70 degree angle with the horizontal, while the second cable (to the right of the block) makes a 65 degree angle with the horizontal.  At point B (where the weight is being held), there are three forces acting: R, S, and W.  Find the tension in each cable necessary to keep the block from moving (either sideways or downward).
 
So, so far I have this - this is how my professor says it "should be done".  I also do have a program on my calculator called, "System of Equations" that I can plug in 2 variables and have it solve it for me.
 
                                                       L              R
W (weight) = -900j     70 degree angle\             /65 degree angle
- W = 900j                                         \ _____ /
                                                     -900-lb block
 
L = |L| (cos theta i + sin theta j)
R = |R| (cos theta i + sin theta j)
 
l + r + w = 0 or l + r = -w
 
If you could, please help me solve this - showing me step by step would be most beneficial into helping me understand this for my final! :) Thank you!
 
 

Norbert J. M.

tutor
Your diagram does not show the value, direction or placement of forces R and S.  W clearly acting down (negative value).
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11/18/15

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