In the case of light damping, the displacements x1,x2,x, shown in Fig. 19.11 may be assume...

In the case of light damping, the displacements x1,x2,x, shown in Fig. 19.11 may be assumed equal to the maximum displacements. Show that the ratio of any two successive maximum displacements xnand xn+1 is a constant and that the natural logarithm of this ratio, called the logarithmic decrement, is