Referring to the picture, the cylinder has mass m and a radius R,
the springs have stiffness k and zero mass. If the system is
disturbed, it will perform oscillations, with the cylinder rolling
without slipping. When these oscillations are small,
(a) write down the kinetic energy,
(b) write down the potential energy,
(c) write down the total energy;
(d) use energy conservation to write down the equation of
motion of the cylinder:
e) hence state the frequency of small oscillations.
