• A 30-kg crate is suspended from the end of a 40-m, 450-kg horizontal uniform beam. The beam is pinned to the wall on one end, and a cable is attached to the beam 25 m from the hinge. The cable extends an angle of 30 and is attached to the wall.  
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• a. Determine the tension in the cable.
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• b. Determine the horizontal force the hinge exerts on the beam. 
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• c. Determine the vertical force the hinge exerts on the beam. 
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• d. Determine the magnitude and direction of the force the hinge exerts on the beam.