Justify the following formulas for the mass Mand the center of gravity (x, y, z) of a
Question:
Justify the following formulas for the mass Mand the center of gravity (x̅, y̅, z̅) of a lamina S of density (mass per unit area) σ(x, y, z) in space:
Step by Step Answer:
The mass M of a lamina S can be calculated by integrating the density xyz over the laminas area M S ...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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