A 200-lb homogeneous gate 10 ft wide and 5 ft long ishinged at point A and held in place

Chapter 2, Problem 2.105

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A 200-lb homogeneous gate 10 ft wide and 5 ft long ishinged at point A and held in place by a 12-ft-long brace as shownin Fig. P2.105. As the bottom of the brace is moved to the right, thewater level remains at the top of the gate. The line of action of theforce that the brace exerts on the gate is along the brace. (a) Plotthe magnitude of the force exerted on the gate by the brace as afunction of the angle of the gate, , for 0 90. (b) Repeatthe calculations for the case in which the weight of the gate is negligible.Comment on the result as 0.

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