Auniform piece of sheet steel is shaped as in the figure below. (both axes are marked in increments of 2). compute the x and y coordinates of the center of mass of the piece.

Explanation:

Since the given sheet is of steel hence it has a homogeneous density, each piece of square measurement according to the graph will have equal mass.

For X coordinate of center of mass:

where:

are the respective geometric abscissa of square pieces.

Since,

Respective masses of the square pieces

So,

For Y coordinate of center of mass:

where:

are the respective geometric ordinates of square pieces.

Since,

Respective masses of the square pieces

So,

∴Center of mass of the given figure is:

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