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A lamina occupies the disk x squared space plus space y squared space less or equal than 4. Find the mass, if the density at any point is proportional to its distance from the origin, where the proportionality
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A lamina occupies the disk x squared space plus space y squared space less or equal than 4. Find the mass, if the density at any point is proportional to its distance from the origin, where the proportionality constant is 3.

User Ujeenator
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1 Answer

4 votes

Answer: Mass of Lamina is (K/3)

Centre of mass is (3/8, 3pi/16)

Explanation:

Find explanation in the attachments

A lamina occupies the disk x squared space plus space y squared space less or equal-example-1
A lamina occupies the disk x squared space plus space y squared space less or equal-example-2
A lamina occupies the disk x squared space plus space y squared space less or equal-example-3
A lamina occupies the disk x squared space plus space y squared space less or equal-example-4
A lamina occupies the disk x squared space plus space y squared space less or equal-example-5
User Soumya Kanti
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