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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 o…

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 o…
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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.

asked
User Ujeenator
by
7.8k points

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
answered
User Soumya Kanti
by
9.2k points
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