A square clock of inertia \(m\) is hung on a nail driven into a wall (Figure P12.22). The length of each side of the square is \(\ell\), the thickness is \(w\), and the top back edge of the clock is a distance \(d\) from the wall. Assume that the wall is smooth and that the center of mass of the clock is at the geometric center. Obtain an expression for the magnitude of the normal force exerted by the wall on the clock.

Data from Figure P12.22