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(1 point) The motion of a solid object can be analyzed by thinking of the mass as concentrated at a single point, the center of
(1 point) The motion of a solid object can be analyzed by thinking of the mass as concentrated at a single point, the center of mass. If the object has density p(x, y, 2) at the point (x, y, z) and occupies a region W, then the coordinates (f, E, E) of the center of mass are given by _ 1 _ 1 _ 1 x:/ xpdV y=/ ypdV z=/ zpdV, in W m W m W where m = [W ,9 (1V is the total mass of the body. Consider a solid is bounded below by the square 2 = 0, O S x g 4, O S y S 5 and above by the surface Z = x + y + 4. Let the density of the solid be 1 g/cm3, with x, y, 2 measured in cm. Find each of the following: The mass of the solid = E for the solid = E forthe solid = E forthe solid = (For each, include units.)
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