Alamina occupies the part of the disk x2 + y2 ≤ 36 in the first quadrant. find its center of mass if the density at any point is proportional to its distance from the x-axis.

Explanation:

The density at a point is proportional to its distance from the x axis

Writing equation in polar form

and

where k is proportionality constant

Total mass ig given by

m=72k

Also

Similarly

Centre of mass co-ordinates is

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explanation:

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