Physics, 15.11.2019 18:31 nawafcanada
Alamina occupies the part of the disk x2 + y2 ≤ 49 in the first quadrant. find the center of mass of the lamina if the density at any point is proportional to the square of its distance from the origin.
Answers: 1
in the first quadrant.
Where r= Distance between origin and the point on boundary of circle 
) varies from 0 to 
.
![m=k\int_{0}^{\frac{\pi}{2}}[\frac{r^4}{4}]^{7}_{0} d\theta](/tpl/images/0376/1238/74696.png)
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![M_x=K\frac{16807}{5}[-cos\theta]^{\frac{\pi}{2}}_{0}](/tpl/images/0376/1238/4213e.png)
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![M_y=\frac{16807}{5}[sin\theta]^{\frac{\pi}{2}}_{0}](/tpl/images/0376/1238/3164e.png)
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Alamina occupies the part of the disk x2 + y2 ≤ 49 in the first quadrant. find the center of mass of...
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