The problem in the image is in Hebrew and asks for the calculation of the moment of inertia of a rectangular plate with a surface density $\sigma = kx^2y$, where $k$ is a constant. You need to find the mass of the disk and its moment of inertia about the center of mass.

Let's solve this step-by-step:

1. Surface Density Function

$\sigma(x, y) = kx^2y$

2. Mass Calculation

The mass $M$ of the plate is found by integrating the surface density over the entire area of the plate: $M = \iint_{\text{Area}} \sigma(x, y) \, dA$ where $dA = dx \, dy$.

3. Moment of Inertia

The moment of inertia $I$ about the center of mass, assuming the plate is oriented along the $x$ and $y$ axes, is given by: $I = \iint_{\text{Area}} \sigma(x, y) r^2 \, dA$ where $r^2 = x^2 + y^2$.

Step-by-step:

1. Define the limits of integration: You need the dimensions of the rectangular plate, say it has width $a$ and height $b$.
2. Mass $M$: $M = \int_{0}^{b} \int_{0}^{a} kx^2y \, dx \, dy$
3. Moment of Inertia $I$: $I = \int_{0}^{b} \int_{0}^{a} kx^2y (x^2 + y^2) \, dx \, dy$

Would you like to proceed with these integrations in detail to find the expressions for the mass and the moment of inertia?