Find the center of gravity (x, y) of a mass of density f(x, y) = 1 in
Question:
Find the center of gravity (x̅, y̅) of a mass of density f(x, y) = 1 in the given region R.
Step by Step Answer:
To find the center of gravity x y of a mass of density fx y 1 in the given region R we can use the f...View the full answer
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The Centre of gravity is a theoretical point in the body where the body’s total weight is thought to be concentrated. It is important to know the centre of gravity because it predicts the behaviour of a moving body when acted on by gravity. It is also useful in designing static structures such as buildings and bridges.In a uniform gravitational field, the centre of gravity is identical to the centre of mass. Yet, the two points do not always coincide. For the Moon, the centre of mass is very close to its geometric centre. However, its centre of gravity is slightly towards the Earth due to the stronger gravitational force on the Moon’s near side.
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