A 5 m-long solid cylinder of radius 0.8 m hinged at point A is used as an automa

Question

A 5 m-long solid cylinder of radius 0.8 m hinged at point A is used as an automatic gate for the water ( gamma = 9.81 kN/m3) tank shown below. When the water level reaches 5 m, the gate opens by turning about the hinge at point A. Determine (a) the magnitude of the force exerted by the water at rest on the cylinder, FR, and (b) the weight of the gate, (c) Explain why the line of action of Fr passes through the center point of the cylinder as shown below. Hints for parts (a) and (b): Draw a free body diagram (FBD) of the fluid region bounded by the cylinder and rectangular faces. This FBD excludes the cylinder. Draw all forces acting on this FBD (including the force exerted by the cylinder on the fluid region, Qr.). Note that because of action-reaction, Fr = -QR Impose force equilibrium on the FBD in the horizontal and vertical directions to obtain the Cartesian components of QR and thus Fr. From the Cartesian components of Fr determine the angle 0 shown below. Draw an FBD of the cylinder. Using this FBD, determine the weight of the cylinder by taking moments about the hinge at A. Forces acting on this FBD are Fr and the weight of the cylinder. Note that when the water level is 5 m high, the gate is about to open and thus the reaction force at the bottom of the cylinder is zero.

Explanation / Answer

http://books.google.co.in/books?id=c8ATbn9ChB8C&pg;=PA95&lpg;=PA95&dq;=a+5-m+long+solid+cylinder+of+radius+0.8m+hinged&source;=bl&ots;=wDWkvxpYNa&sig;=HH6IRgNqLcrnzZQ5ZGf9Z7tyJB0&hl;=en&sa;=X&ei;=85MvUfSkEJDJrAe8w4GgAw&ved;=0CEUQ6AEwAw#v=onepage&q;&f;=false check it once answer is in this linkl

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