Question

A solid is described along with its density function. Find the center of mass of the...

A solid is described along with its density function. Find the center of mass of the solid using cylindrical coordinates:

The upper half of the unit ball, bounded between z = 0 and z = √(1 − x^2 − y^2) , with density function δ(x, y,z) = 1.

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Answer #1

Doubt in any step then comment below.. i will explain you..

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Please thumbs up for this solution...thanks...

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if a region is symmetry above x and y axis...then their x and y coordinates of cente of mass is 0 ...

So we have only find z coordinate ..

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