Answer Happy

Q3. A mass-spring system of mass M and spring constant k, as shown in the figure below, is at rest. At t=0, a chunk of mass breaks off and a fraction of the initial mass M, say nM, remains attached to the spring. If the mass moves in the vertical direction, and at t = 0, the mass is at equilibrium position, y = 0, determine the following: (a) The new equilibrium position in terms of the given parameters (b) The new period of oscillations (c) The displacement y(t), the amplitude and the phase of the motion in terms of the given parameters (e) The kinetic and potential energies of the mass as a function of time nm.