A 2 lb motor is mounted in the middle of a 72 inch long beam with...
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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 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: 10(10) ksi, density p 0.098 lb/in. (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 cquation(s) that fully describe the system response. (20 PTS) (d) Determine the motor displacement after 0.5 scconds. (5 PTS) Beam Cross Section 0.5 2.0" Screenshot 20200..jpg Screenshot 20200...jpg Screenshot 20200.. jpg Screenshot 20200..jpg (@ 6 E R A S D G 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 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: 10(10) ksi, density p 0.098 lb/in. (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 cquation(s) that fully describe the system response. (20 PTS) (d) Determine the motor displacement after 0.5 scconds. (5 PTS) Beam Cross Section 0.5 2.0" Screenshot 20200..jpg Screenshot 20200...jpg Screenshot 20200.. jpg Screenshot 20200..jpg (@ 6 E R A S D G
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