32.2.1 - Equation of Motion
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Practice Questions
Test your understanding with targeted questions
What does 'm' stand for in the equation of motion?
💡 Hint: Think about what affects a structure's inertia.
What is the role of damping in structural dynamics?
💡 Hint: Consider what happens to oscillations over time.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does 'c' represent in the equation of motion?
💡 Hint: Consider what helps reduce vibrations in structures.
True or False: The equation of motion only applies to structures with multiple degrees of freedom.
💡 Hint: Think about the definition of SDOF.
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Challenge Problems
Push your limits with advanced challenges
A structure with a mass of 1500 kg and a damping coefficient of 30 Ns/m will be subjected to ground acceleration of 2 m/s². Write the equation of motion and describe the implications of ground acceleration on the structure.
💡 Hint: Remember the equation format and how to incorporate acceleration.
If you reduce the mass of a structure significantly while keeping stiffness and damping constant, how will the equation of motion change? Discuss potential impacts.
💡 Hint: Discuss how reducing mass affects inertia within the context of dynamic loads.
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