MAT136H1 Lecture Notes - Centroid

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MAT136H1 Full Course Notes
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Hydrostatic pressure & force where is the density, is the depth below the water surface, and water directly above the plate is. , where the area of the th strip. At any point, liquid pressure is same in all directions. Pressure is not constant but increases as depth increases. Center of mass: finding a point on a place of any shape that balances the plate horizontally. , is the total mass of the system, . Sum of individual moments is: dimensional line, not (x,y) coordinate on 2 dimensional plane). Center of mass coordinate: ( ) . Center of mass also called centroid of plane : , called the moment of the system about the origin (one. , represents tendency to rotate about the -axis. , represents the tendency to rotate about the -axis. From ( ) , ( ) - ( ) , ( Location of the center of mass is independent of density . and .

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