3. (25%) A SDOF system is released from initial conditions and in free vibration. With the...

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3. (25%) A SDOF system is released from initial conditions and in free vibration. With the following conditions, Mass m = Combination of the second, the sixth, the seventh, and the eighth digits of your UML ID (kg), Stiffness k = Combination of the second and the fifth digits of your UML ID, multiplied by 103 (N/m), Damping coefficient c = 3,000 N-s/m, Initial displacement uo = Combination of the second and the fourth digits of your UML ID, divided by 100 (m), and Initial velocity u = Combination of the second and the fifth digits of your UML ID, divided by 10 (m/s). please determine i) undamped natural frequency wn (5%), ii) damping ratio (5%), iii) damped natural frequency wd (5%), iv) displacement at time = 1.5 seconds, u(1.5) and v) velocity at time = 1.5 seconds (1.5) (5%). 3. (25%) A SDOF system is released from initial conditions and in free vibration. With the following conditions, Mass m = Combination of the second, the sixth, the seventh, and the eighth digits of your UML ID (kg), Stiffness k = Combination of the second and the fifth digits of your UML ID, multiplied by 103 (N/m), Damping coefficient c = 3,000 N-s/m, Initial displacement uo = Combination of the second and the fourth digits of your UML ID, divided by 100 (m), and Initial velocity u = Combination of the second and the fifth digits of your UML ID, divided by 10 (m/s). please determine i) undamped natural frequency wn (5%), ii) damping ratio (5%), iii) damped natural frequency wd (5%), iv) displacement at time = 1.5 seconds, u(1.5) and v) velocity at time = 1.5 seconds (1.5) (5%).