A file cabinet weighing 230 lb is being pushed to the right with a horizontal force P appl...

A file cabinet weighing 230 lb 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 ω = 15 in., its mass center G is a distance d = 2 ft above the floor, and static friction is insufficient to prevent slipping between the cabinet and the floor.

If the coefficient of kinetic friction between the file cabinet and the floor is μk = 0.15 and the horizontal force P is applied at a height h = 42 in., determine the maximum value of P that can be applied so that the cabinet does not tip over, and find the corresponding acceleration of the cabinet.

Figure P7.18