What Is the Tension in the Support Cable?

AI Thread Summary
The discussion centers on calculating the tension in a support cable for a wrecking ball system, which includes a boom and its weight. The wrecking ball weighs 4500 N, while the boom weighs 3610 N, with specific angles given for the cable and boom. The user is seeking assistance in summing the torque about the hinge to determine the tension (T) and is also unsure how to find the force exerted at the hinge. A request for a diagram indicates a need for visual aid in understanding the problem. The focus remains on resolving the tension and hinge force in this mechanical setup.
Kelschul
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Tension in support cable. Help!

A wrecking ball (weight = 4500 N) is supported by a boom, which may be assumed to be uniform and has a weight of 3610 N. As the drawing shows, a support cable runs from the top of the boom to the tractor. The angle between the support cable and the horizontal is 32°, and the angle between the boom and the horizontal is 48°. Find (a) the tension in the support cable and (b) the magnitude of the force exerted on the lower end of the boom by the hinge at point P.



I know I have to sum the torque about the hinge to solve for T, but I can't seem to get it right.

I also do not know how to do part b.
 
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Could you perhaps show the diagram?
 

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