The file cabinet, which weighs 230 lb, is being pushed to the right with a horizontal forc...

The file cabinet, which weighs 230 lb, is being pushed to the right with a horizontal force of 70 lb, which is applied a distance h from the floor. If the mass center G of the file cabinet is d = 24 in. from the floor and the width of the file cabinet is w = 15 in., determine the maximum height h at which the file cabinet can be pushed so that it does not tip, and determine the corresponding acceleration of the file cabinet. Assume that friction between the file cabinet and the floor is negligible.

Figure P7.4