Tension Problem x and y components?

  • Thread starter Span
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Tension Problem x and y components??

Homework Statement



A man of mass 70.0 kg hangs by 2 cables A and B each inclined at 60.0 degrees to the horizontal.

A horizontal pulling force F is applied to the man pulling to the right. The man remains stationary. If F has magnitude 250 N, find the magnitudes of the tension in the 2 cables.


Homework Equations



F=w=mg
A+B+F+W=0



The Attempt at a Solution



(70 kg)(9.8)=686 N
the downward W force is 686 N

x-component
Ax+Bx+F=0
Acos120+Bcos60+250=0

y-component
Ay+By+W=0
Asin120+Bsin60+686=0

I know there is a system of equations here and that i can use substitution or trigonometric triangles but im not sure how to approach either of these methods. Any help would be great. Sorry i don't have a picture, i hope it makes sense.

Homework Statement





Homework Equations





The Attempt at a Solution

 

Answers and Replies

  • #2
Astronuc
Staff Emeritus
Science Advisor
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Acos120+Bcos60+250=0
Asin120+Bsin60+686=0

Evaluate the cos and sin terms, and one has two equations and two unknowns, which one should be able to solve.
 
  • #3
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hmm sorry it still doesnt make sense to me im not sure how to put B in terms of A or A in terms of B and then after i find these numbers how to go about finding the tensions of the cables.
 
  • #4
Chi Meson
Science Advisor
Homework Helper
1,789
10
First of all the weight is negative (sin270, right?)

Now turn all those sins and cos's into decimals, and rewrite the first equation so that it reads " A = blablablah + B(blah)"

then substitute that for the "A" in the second equation.
 

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