A 2 lb motor is mounted in the middle of a 72 inch long beam with simple supports, as shown in the figure below. The beam is made of a solid piece of aluminum with E = 10(10) ksi, density p 0.098 lb/in. The cross-section of the beam is shown on the image. Assume 5% damping. If someone accidentally drops a 200 lb weight which hits the motor directly for 0.02 ms, calculate the following: (a) Determine the effective mass and stiffness for this system. (10 PTS) (b) Determine the natural frequency and natural period for this system. (5 PTs) (c) Determine the equation(s) that fully describe the system response. (20 PTS) (d) Determine the motor displacement after 0.5 seconds. (5 PTS) Beam Cross Section Activate 05 Go to 2.0