The conical float is free to slide on a vertical rod. When the float is disturbed from its equilibrium position, it undergoes oscillating motion described by the differential equation
where a = 16 m-3 (determined by the density and dimensions of the float) and g = 9.80665 m/s2. If the float is raised to the position y = 0.1 m and released, determine the period and the amplitude of the oscillations.