Motor on a Foundation as a 2DOF system - Forced Vibration with rotating unbalance

How many modes does a 2DOF system have:
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A system is vibrating at one of its natural frequency, it's configuration is called:
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For a 2DOF system, the equation of motions are in the form of:
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At node and antinode, the amplitude is:
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Which of the following statements is true?
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