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- Using the method of composite areas, find the centroid of the truncated parabolic complement.When suspended from two cables, the rocket assumes the equilibrium position shown. Determine the distance x that locates G, the center of gravity of the rocket.Show that every axis passing through the centroid of the equilateral triangle is a principal axis.
- The cylindrical water tank with R = 10 ft and H = 1.6 ft has thin steel walls of uniform thickness and weighs 18000 lb when empty. Determine the depth of the water h for which the center of gravity G of the tank plus water will be located at the surface of the water. For water, use =62.4lb/ft3.The automobile, with center of gravity at G, is parked on an 18 slope with its brakes off. Determine the height h of the smallest curb that will prevent the automobile from rolling down the plane.