Mass is distributed uniformly over a thin squ | vedclass

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(D) For a uniform square plate,the centre of mass coincides with the geometric centre of the square.The geometric centre of a square is the midpoint o

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$(0, 1)$

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(D) For a uniform square plate,the centre of mass coincides with the geometric centre of the square.The geometric centre of a square is the midpoint of its diagonal.Given the endpoints of the diagonal are $(x_1, y_1) = (-2, 0)$ and $(x_2, y_2) = (2, 2)$.The coordinates of the midpoint $(x, y)$ are given by:$x = \frac{x_1 + x_2}{2} = \frac{-2 + 2}{2} = \frac{0}{2} = 0$$y = \frac{y_1 + y_2}{2} = \frac{0 + 2}{2} = \frac{2}{2} = 1$Therefore,the coordinates of the centre of mass are $(0, 1)$.

Mass is distributed uniformly over a thin square plate. If two end points of a diagonal are $(-2, 0)$ and $(2, 2)$,what are the coordinates of the centre of mass of the plate?

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