A Uniform Beam Supported by a Cable

AI Thread Summary
A uniform 250 kg beam is supported by a cable, and the problem requires finding the tension in the cable without using torque. The discussion highlights confusion regarding the angles used for resolving the tension, noting that the cable's angle should be 60 degrees to the horizontal rather than the stated 20 degrees. Additionally, the absence of a frictional force at the ground is pointed out as a critical oversight in the calculations. The participants emphasize the importance of correctly identifying forces and angles in static equilibrium problems. Accurate resolution of forces is essential for determining the correct tension in the cable.
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Homework Statement



A uniform 250 kg beam is supported by a cable connected to the ceiling, as shown in the figure. The lower end of the beam rests on a rough, horizontal floor. What is the magnitude of the tension in this cable?

Image of the problem:
http://session.masteringphysics.com/problemAsset/1026378/6/yg.10.70.jpg

Homework Equations



Fnet=ma=0

The Attempt at a Solution



I know that this problem is easiest to complete using torques, but I was told to try it without using torque (if possible). That being said, here is my attempt:

http://imgur.com/jKr3tDC

I know that I got the right answer but I am not sure how. Aren't the 40 degrees and the 20 degrees are the wrong angles to use when using a horizontal/vertically oriented plane?
 
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Your working does indeed look wrong.
You show the tension resolving into T cos(20o) horizontally and T sin(20o) vertically, whereas the cable makes an angle 60o to the horizontal.
You don't show any frictional force at the ground, but there must be one.
 
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