9.2 - Equation of Motion for Single Degree of Freedom (SDOF) System
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Practice Questions
Test your understanding with targeted questions
What does 'm' represent in the equation of motion?
💡 Hint: Think about what quantity needs to be multiplied by acceleration.
What is the role of the damping coefficient?
💡 Hint: Consider how the energy dissipates in vibrating systems.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does 'c' in the equation of motion refer to?
💡 Hint: Think about how systems return to rest.
True or False: The impulse response function can help predict the behavior of structures during an earthquake.
💡 Hint: Remember the importance of analyzing dynamic responses.
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Challenge Problems
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Given the mass m=2kg, damping c=3N·s/m, and stiffness k=15N/m, derive the equations of motion and impulse response for this SDOF system.
💡 Hint: Start by substituting the values into the motion equation.
If the damped natural frequency is ωd = 5 rad/s, what does that say about the damping ratio in your impulse response?
💡 Hint: Connect the natural frequency and the damping ratio for analysis.
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