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(Solved): A floor hoist with 90 pound boom angled 5 degrees above the horizontal holds a 720 pound engine as s ...
A floor hoist with 90 pound boom angled 5 degrees above the horizontal holds a 720 pound engine as shown. The bolt at A fastens the boom to the mast. If asked to determine the force in the hydraulic lift cylinder, is this a 2D or 3D problem? Draw a FBD to support your answer, and state a general equation you would use to begin your analysis.
Expert Answer
(a) This problem can be treated as a 2D problem. The problem can be simplified by considering only the vertical and horizontal components of the forces involved.Since the boom is angled 5 degrees above the horizontal, it creates a non-vertical force vector. However, we can resolve this force vector into its vertical and horizontal components to analyze the problem in two dimensions.In a 2D analysis, we would consider the vertical equilibrium of forces to determine the force in the hydraulic lift cylinder. This would involve summing up the vertical components of all the forces (weight of the boom, weight of the engine, and the force in the hydraulic lift cylinder) and setting it equal to zero since the system is in equilibrium.