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!

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## 1 Expert Answer

Given the 900lb weight suspended by two cables, resolve the tension forces R and L (assuming S is a typo) into horizontal and vertical components in the x and y directions.

In the x or horizontal direction: Rcos65° - Lcos70° = 0

In the y or vertical direction Rsin65° + Lsin70° - W = 0

or Rsin65° + Lsin70° = 900

Now you have two equationa which you can use to solve for the two unknowns R and L

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Norbert J. M.

11/18/15