What’s the center of mass for each situation? ### Description of the DiskThe image describes a disk with a radius \( R \) and a radial density distribution given by:\[ \sigma(r) = \sigma_0 \left(1 - \frac{r}{R}\right) \]### Explanation of the DiagramThe diagram shows a semi-circular disk with uniform density and a radius labeled \( R \). It is situated in a coordinate system with the semicircle resting on the x-axis and centered on the y-axis. - **Axes:** - The x-axis is horizontal. - The y-axis is vertical.- **Disk:** - The semicircle extends from the y-axis outward to the edge of the circle, forming a half-disk shape above the x-axis. - The radius \( R \) extends from the center (origin) to any point along the boundary of the semicircle.The density function represents how the density of the disk changes with distance \( r \) from the center. As \( r \) approaches \( R \), the density decreases linearly from \( \sigma_0 \) to zero.

Solution: The determination of center of mass is given below:

Answered: A disk of radius R and density o(r) =…

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