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A large, 2000 pound block is being held by two ropes that are attached to a horizontal beam. The rope on the left made a 30 degree angle down to the center of the block, the rope on the right made a 40 degree angle down to the center of the block. What is the tension in the left cable?

2006-08-21 15:33:17 · 3 answers · asked by likestoplaywithsquirrels 3 in Science & Mathematics Physics

http://i4.photobucket.com/albums/y129/MoonFighter666/math.gif

2006-08-21 16:06:10 · update #1

3 answers

I see the pictures and this is the way you do it.....

Free Body Diagram to show the forces acting on the block....

Took Sum of the Forces in the x direction....
-T(left)cos30+T(right)cos40 = 0

Took Sum of the Forces in the y direction....
2000 - T(left)sin30 - T(right)sin40 = 0

now you have two equations two unknowns T(left) and T(right)

I got T(left) = 1630.42
T(right) = 1843.21

2006-08-21 15:59:46 · answer #1 · answered by mdc 2 · 0 1

a little bit of trig and a tiny bit of physics and you are there

remember that the horizontal forces have to balance and the vertical forces have to balance

remember that the sin of the angle times the total force will equal the vertical force, and likewise with the cosine for the horizontal force

the angles are provided

go for it

2006-08-21 22:42:58 · answer #2 · answered by enginerd 6 · 0 0

Nice try.

2006-08-21 22:39:37 · answer #3 · answered by Anonymous · 0 0

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