Consider a homogeneous disk with freely rotating at point “o" with the mass moment of inertia of Jo = 0.05 kg.m2. It is connected to two springs with constants C

in N/cm and Din N/m as figure below. Note that dimension A is in cm. a. Obtain the kinetic energy and potential energy of the system. b. Derive the equation of motion from the fact that the total energy is constant. (* c. Calculate the natural frequency of small vibrations in Hz. d. Determine the time it takes the system to do one full oscillation

Fig: 1

Fig: 2

Fig: 3

Fig: 4

Fig: 5

Fig: 6