A solid consists of a cylinder and a hemisphere of equal radius fixed base to base. Find the ratio of the radius to the height of the cylinder, so that the solid has its centre of gravity at the common face.  Hint. For stable equilibrium, the centre of the body should be below the common face or maximum lie on it. So take the centre of gravity of the body at a distance (a) from the bottom of the hemisphere.

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter8: Centroids And Distributed Loads
Section: Chapter Questions
Problem 8.90P: The hemispherical glass bowl is filled with water. Find the location y of the center of gravity of...
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A solid consists of a cylinder and a hemisphere of equal radius fixed base to base. Find the
ratio of the radius to the height of the cylinder, so that the solid has its centre of gravity at
the common face. 
Hint. For stable equilibrium, the centre of the body should be below the common face or
maximum lie on it. So take the centre of gravity of the body at a distance (a) from the
bottom of the hemisphere.

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