A file cabinet weighing 230lb is being pushed to the right with a horizontal force P applied a distance h from the floor. The width of the file cabinet is w=15in., its mass center G is a distance d=2ft above the floor, and static friction is insufficient to prevent slipping between the cabinet and the floor.
If P= 70lb and the coefficient of kinetic friction between the cabinet and the floor is u=0.28, determine the maximum height h at which the cabinet can be pushed so that it does not tip over, and find the corresponding acceleration of the cabinet.