Problem 2 An undamped spring-mass system has mass of 4.5 kg and a spring stiffness of 3500 N/m. It is excited by a harmonic (sinus) force having an amplitude Fo = 100 N and excitation frequency of 10 rad/s. The initial conditions are xo = 0.015 m and i o= 0.15 m/s. Answer to the following questions. Report the unit of measure and the equations that you used in all your answers. Required: 1. Determine the frequency ratio. 2. Determine the amplitude A of the forced response. 3. Determine the displacement of the system at time t = 2 s.

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Problem 2
An undamped spring-mass system has mass of 4.5 kg and a spring stiffness of 3500 N/m. It is
excited by a harmonic (sinus) force having an amplitude Fo = 100 N and excitation frequency of
10 rad/s. The initial conditions are xo = 0.015 m and i o= 0.15 m/s. Answer to the following
questions. Report the unit of measure and the equations that you used in all your answers.
Required:
1. Determine the frequency ratio.
2. Determine the amplitude A of the forced response.
3. Determine the displacement of the system at time t = 2 s.
4. Determine the velocity at time t = 4 s.
5. Plot the forced response.
6. Modify the SDOF system's parameters to have resonance condition with the external excitation.
It is your choice to modify only one or more parameters.
Transcribed Image Text:Problem 2 An undamped spring-mass system has mass of 4.5 kg and a spring stiffness of 3500 N/m. It is excited by a harmonic (sinus) force having an amplitude Fo = 100 N and excitation frequency of 10 rad/s. The initial conditions are xo = 0.015 m and i o= 0.15 m/s. Answer to the following questions. Report the unit of measure and the equations that you used in all your answers. Required: 1. Determine the frequency ratio. 2. Determine the amplitude A of the forced response. 3. Determine the displacement of the system at time t = 2 s. 4. Determine the velocity at time t = 4 s. 5. Plot the forced response. 6. Modify the SDOF system's parameters to have resonance condition with the external excitation. It is your choice to modify only one or more parameters.
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