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a) [15 marks] stationary bearing T(t) shaft A viscous fluid A cylinder A rotates about its axis inside a bearing. The cylinder is hollow with all its mass concentrated in a thin shell around its circumference. The small gap between the cylinder and the bearing contains a viscous fluid. A long, thin shaft connects the cylinder to a flywheel B. The flywheel is solid and its mass is uniformly distributed within it. A time- varying tortional moment T(t) is applied to the flywheel causing the system to rotate. The shaft strains elastically due to this motion. Develop the state space equations of motion for both the cylinder and the flywheel. Assume that the damping force due the bearing fluid is proportional to angular velocity.