A hollow shell (7.00 kg β = 2/3) is attached to a horizontal massless spring so that it can roll without slipping along a horizontal surface, as in the figure below.
The force constant of the spring k, is 35.0 N/m. lf the spring is stretched by 0.45 m find:
(a) The translational kinetic energy at the equilibrium position.
(b) The rotational energy at the equilibrium position.
(c) The rolling energy at the equilibrium position.
(d) Find the natural frequency of oscillation of this system?
(e) Find the period of oscillation of this system?