children decide to make a crane for their dogs bone (Picture attached). The boom (a piece of wood) can be considered to be uniform, with a weight of of 10 N. The dogs bone weighs 5 N. Note 1: There are unknown forces (must assume both directions) acting from the hinge on the boom. Note 2: The support cable is not attached to the string going to the bone (not a pulley system). There were two strings used—one from the bone to the boom, and another from the boom to the wood. *NOT SHOWN IN PICTURE* The angle where the support cable meets the wood platform is 32 degrees. The tension of the support cable was already solved (T = 30.15 N). What is the magnitude of the force exerted by the hinge on the boom? Please provide a free body diagram and step by step explanation.

children decide to make a crane for their dogs bone (Picture attached). The boom (a piece of wood) can be considered to be uniform, with a weight of of 10 N. The dogs bone weighs 5 N. Note 1: There are unknown forces (must assume both directions) acting from the hinge on the boom. Note 2: The support cable is not attached to the string going to the bone (not a pulley system). There were two strings used—one from the bone to the boom, and another from the boom to the wood. NOT SHOWN IN PICTURE The angle where the support cable meets the wood platform is 32 degrees. The tension of the support cable was already solved (T = 30.15 N). What is the magnitude of the force exerted by the hinge on the boom? Please provide a free body diagram and step by step explanation.

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