A 2 lb motor is rigidly mounted in the middle of a 17.6 lb, 72 inch long beam, as shown in the figure below. The beam is made of a solid piece of aluminum with E = 10(10) ksi and area moment of inertia, I = 0.625 in4. The motor is running at 2000 RPM and due to rotor problems generates a harmonic force with an amplitude of 6 lbs on the beam. Assume a 5% damping ratio. (a) Determine the effective mass and stiffness for this system. (15 PTS) (b) Determine the natural frequency for this system. (5 PTs) (c) Determine the amplitude (magnitude) and phase angle of the steady-state system response. (15 PTS) Transmissibility