Question 1. 2k for L 2k C m +u The mechanical system shown above consists of two identical rods of mass m and length 2L. The system outputs are the rotations 0₁ and 02 in the horizontal plane (no gravity effects) about points P and O, respectively. The system input is the displacement u at the end of the damper. (a) Determine the equations of motion considering small angles (sin 0₁ ~01, sin 02~02, cos 01 = cos 021) (b) Form = 1 kg, k = 10 N/m, c = 2 Ns/m and L = 1 m, write down a state-space representation for the system.