2. 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. (Ans. 2:11 Hint. For stable equilibrium, the centre of the body should beelow 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
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Chapter9: Moments And Products Of Inertia Of Areas
Section: Chapter Questions
Problem 9.33P: The plane region A is submerged in a fluid of weight density . The resultant force of the fluid...
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2. 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.
(Ans. 2:11
Hint. For stable equilibrium, the centre of the body should beelow 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.
Transcribed Image Text:2. 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. (Ans. 2:11 Hint. For stable equilibrium, the centre of the body should beelow 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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