Mechanical Engineering 4600:441 Control System Design Fall 2017 Home Work Assignment #2 3.3. Derive complete sets of state-model equations for the system shown in Figure F3.3 using three different sets of state variables. The input variable is torque 7() and the output variables are displacements x,() and x(t). Present the state models in matrix form. (r) mmm -000 ki (12) mum 000 Di Figure P3.3 Mechanical system considered in Problem 3.3. 1. Show all free body diagrams 2. Develop all elemental equations 3. Develop the two main mass-acce (Newton's Second Law) equations 4. Develop an SISO equation relating x; and T 5. Develop Type 1, 2 and 3 state space models for the system