2. A wooden rectangular prism of density p\

2. A wooden rectangular prism of density pw height h, and cross section a X b is initially depressed in an oil tub and made to vibrate freely in the vertical direction (see the figure). Use Rayleigh's method to find the natural frequency of vibration of the prism. Assume the density ofoil is po. Ifthe rectangular prism is replaced by a uniform circular cylinder of radius r, height h, and density pw will there be any change in the natural frequency? h x