A mass of n (kg) is hung from a spring of stiffness k = 2.5 x 105 damper c = 100 N. s/m, which is attached to two aluminum beams with E = 71 x 10(Pa). moment of inertia I = 3.5 x 10-8 (m*). and length of 255 (mm). The beam is supported at its free end. Determine: and (a) Equivalent stiffness and equation of motion of the system. (b) Damped natural frequency of the system (fa) in (Hz). (c) Free vibration response of the system in time domain, x(t), when x(0) = 10 mm and i(0) = 100 mm/s. (d) Simulation and plot of the response of system in MatLab/Simulink. Note: n is an individual value for each student that should be found from two right digits of student's ID (e.g. Student ID: 215189534>n = 34 (kg). There might be one exception for a student ID which ends to 00> n = 100 (kg)). kEg (N/m) Equation of motion fa (Hz) x(t) 255 mm - Alunimum I-3.5 x 10-m $25x 10 Nm n kg 100 N. s/m