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.
2 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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