) We start the oscillator with energy Eo. Show that A= VEo/k is a length scale and that T = Vm/k is a time scale. Consider now the dimensionless position § = x/A, velocity ( = vT/A, energy E = E/E0, and time 7 = t/T. Show that \dot{\varepsilon}=-c \dot{\zeta}^{2} How does the constant c depend on the parameters of the EOM: m, k, and y.

Fig: 1

Fig: 2

Fig: 3

Fig: 4