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- 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.Compute the centroidal coordinates of the L-shaped region in terms of b and t using the method of composite areas.Using the method of composite areas, find the dimension h that maximizes the centroid coordinate y of the plane region shown.
- The parametric equations of the plane curve known as a cycloid are x=a(sin) and y=a(1cos). Use integration to find the coordinates of the centroid of the cycloid obtained by varying from 0 to 2 rad.Use integration to find the centroidal coordinates for the volume obtained by revolving the area shown about the x-axis.The concrete dam shown in cross section holds back fresh water (=1000kg/m3). Determine the resultant force R of the water pressure acting on one meter length of the dam. Also, compute the coordinates of a point on the line of action of R.