Exercise 2 Beavis and Butthead at the laundromat mq1 m 2 q1 + k 2 (q1 q2 2l0) = 0 mq2 m 2 q2 k 2 (q1 q2 2l0) = 0 with := q k/m > (a) Obtain the equilibrium values q e 1 , qe 2 of q1, q2. (b) With x1 = q1 := q1 q e 1 x2 = q2 := q2 q e 2 x3 = q1 x4 = q2 Obtain a state space description of the form x = Ax. (c) Obtain expressions for the eigenvalues of A. Write dow