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.
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F971b16c5-cf7d-4106-8694-49239dd6a749%2F4f5402a2-a418-46c4-9d80-d64b191794ba%2Fn07itc9_processed.png&w=3840&q=75)
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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