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Hello everyone.
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In this lesson, we're calculating the mass center centroid coordinates x, y, z of a bracket made from a uniform steel plate.
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The shape is composed of three flat rectangular plates connected along their edges, and because the plate has uniform thickness and density, we can use area weighted averages for the centroid coordinates.
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So we treat the bracket as made of three rectangular surfaces.
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The vertical plate in the x to z plane, the right plate in the y to z plane, the slanted plate, connecting the two.
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So let's define them as plate a, plate b, and plate c respectively.
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So plate a, the vertical back plate.
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The area is 175 times 400, which is 70 ,000 millimeter squared.
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The central location, x equals 0, lies in x to z plane, y equals 0, z equals 400 over 2, which is 200.
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Plate b, side plate in y to z.
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The area is 250 times 200 which is 50 ,000 millimeter squared.
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Central allocation x equals 0, y equals 150 plus 250 over 2, which is 275, and z equals 200 over 2, which is 100.
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Plate c, the slanted plate...