9.3 - Free Vibration Response of Undamped SDOF System to Unit Impulse
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Practice Questions
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Define impulse in the context of dynamics.
💡 Hint: Think about forces that occur suddenly.
What does the unit impulse function represent mathematically?
💡 Hint: Consider how it models instantaneous forces.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the mathematical representation of a unit impulse?
💡 Hint: Think about the functions we've discussed.
True or False: An undamped SDOF system will oscillate indefinitely.
💡 Hint: Consider what happens when there's no energy loss.
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Challenge Problems
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A mass-spring system has a mass of 2 kg and a spring constant of 8 N/m. Calculate the displacement response x(t) when a unit impulse is applied.
💡 Hint: Use the relationship between mass, spring constant, and the natural frequency.
Explain the consequence of an undamped response in structural dynamics. What design principles should be applied?
💡 Hint: Think about how adding dampers might change the response.
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