Determine the tension in the support rope and the forces of the hinge on he uniform rectangular mass below. The length on the rect. is 12 and the height is 6m. The angle that the rope makes with the rectangle is 30 degrees.(adsbygoogle = window.adsbygoogle || []).push({});

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I broke up the hinge forces into x and y components:

Bx=Tcos 30

By + Tsin 30= mg

mg(6) <--(half of the length) = T sin 30 (12)

T = mg(6)

--------- = mg

12(sin 30)

Now that Ive calculated T, I use it to find out the forces of the hinge.

Bx = mg(cos 30)

By = (square root of) \[mg^2 - \[3/2] mg2]

That's as far as I got. I don't know how to determine the actual forces since there are no number provided for the mass. And I don't think that the Tension calculated is correct.

Also, does the space between the hinge and the object affect the tension in the rope? Are my calculations of the tension only determine it along the length of the object?

Any help would be much appreciated!

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# Tension in a rope suspending a hinged plate

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