need help on number 3 Problem 3.73 of prescribed text. Problem 3.107 of prescrib

Question

need help on number 3

Problem 3.73 of prescribed text. Problem 3.107 of prescribed text. A solid cylinder of radius 2 ft hinged at point A is used as an automatic gate. Determine the minimum weight of the cylinder for the gate to remain closed when the water level is 15 ft. The width of the gate (dimension into the page) is 5 ft. Y water = 62.4 lbf / ft3 The gate shown is designed to open before the water reservoir is overtopped. Determine the diameter. D. of the cylindrical buoy needed to open the 1 ft. wide gate when the water level. H, is 3 ft. (the buoy is connected to the gate by an 8ft,cable). Neglect the

Explanation / Answer

Balance the moment about the hinge

wt of cylinder*radius=force due to water *(4*radius/3*pi)
force due to water = gamma*((15+17)/2)*2
hence wt of cylinder = 847.468 lbf

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