A3. A 3-degree-of-freedom system is shown below in Figure A3. It can vibrate only in the horizontal direction along a st
Posted: Sun May 15, 2022 10:52 pm
A3. A 3-degree-of-freedom system is shown below in Figure A3. It can vibrate only in the horizontal direction along a straight line. m = 10 kg and k = 1000 N/m. There is no damping in the system. X1 X2 X3 Hk 2m- Wm-n-2m fram in Figure A3. (a) Write down the equations of motion in matrix form. [7] (b) Show that 10 rad/s is a natural frequency. [5] (c) Determine the mode associated with this natural Tiequency of 10 rad/s. [5] (d) Determine the other two natural frequencies. [8]