The driveway gate is hinged at its right end and can swing freely in the horizontal plane....

The driveway gate is hinged at its right end and can swing freely in the horizontal plane. The gate is pushed open by the force P that always acts perpendicular to the plane of the gate at point A, which is a horizontal distance d from the gate hinge. The weight of the gate is W = 215 lb, and its mass center is at G, which is a distance w/2 from each end of the gate, where w = 16 ft. Assume that the gate is initially at rest and model the gate as a uniform thin bar as shown below the photo.

Figure P7.17

Given that a force of P = 20 lb is applied at the center of percussion of the gate, determine the reactions at the hinge O after the force P has been continuously applied for 2 s.