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# Center of Mass of a Plate

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Calculate the centre of mass of the sheet in figure 1 attached. The sheet has a uniform thickness & density.

See the attached file.

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https://brainmass.com/physics/classical-mechanics/center-mass-plate-176134

#### Solution Preview

The solution file is attached.

Calculate the centre of mass of the sheet in figure 1 attached. The sheet has a uniform thickness & density.

Let the mass of the lower plate be m1 and that of the upper plate be m2.
Since the ...

#### Solution Summary

The solution provides determination of center of mass of the plate with given dimensions.

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A square plate of uniform sheet metal, with edges of length 2a, is placed in the first quadrant of the xy plane with a corner at the origin. A circular hole, of diameter a, is centered in the quarter of the plate farthest from the origin, is removed from the plate. Where is the center of mass of the remaining metal?

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