Finding tension and reaction force for a boom

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SUMMARY

The discussion centers on calculating the tension in a supporting cable and the reaction force components at the hinge of a uniform boom. The boom weighs 1100 N and supports a 2000 N weight at its top. The tension in the cable is determined to be perpendicular to the boom, while the torque produced by both the weight of the boom and the hanging weight must be considered to solve for the reaction forces at the hinge. Key calculations involve applying static equilibrium principles to find these forces.

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Homework Statement


A 1100 N uniform boom is supported by a cable perpendicular to the boom, as in the figure below. The boom is hinged at the bottom, and a 2000 N weight hangs from its top.

p8-26alt.gif


(a) Find the tension in the supporting cable.
(b) Find the components of the reaction force exerted on the boom by the hinge.

The Attempt at a Solution


I can't find any examples in my book that look anything like this. Please help me to get started.
 
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They said the tension is perpendicular to the boom. The weight acts downwards.

So what is the torque produced by the weight and the weight of the boom?
 

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