Problem 2: (33pts.) The schematic shown below represents a model of a coin- operated amusement kiddie ride for young children. The ride consists of a cam- operated system in which the follower is modeled by the spring and dashpot shown. The input to the system is y(t) and its motion is given by the cam's geometry. Motion of the whale is obtained by the L-shaped connecting link connected to follower. The L-shaped linkage is considered a massless rigid L-arm. The mass of the whale and rider is modeled as a ball of mass m. The cam motion moves the L-arm with small oscillating angles 0. y(t) a) (10pts) Obtain a free body diagram of the system for an arbitrary angle 0. b) (10pts) Derive the equation of motion for small angles of 0. c) (13pts) For what values of c and k is the system stable.