7.7 - Graphical Representation of Motion
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Practice Questions
Test your understanding with targeted questions
Define displacement in the context of an SDOF system.
💡 Hint: Think about how far the mass moves from its rest position.
What shape does the displacement-time graph of an undamped system have?
💡 Hint: Visualize how waves move up and down continuously.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What type of motion is exhibited by an undamped SDOF system?
💡 Hint: Think about the shape of waves in motion.
True or False: The amplitude of an undamped SDOF system decreases over time.
💡 Hint: Consider the absence of energy loss.
1 more question available
Challenge Problems
Push your limits with advanced challenges
For a mass-spring system with a mass of 2 kg and a spring constant of 50 N/m, calculate the natural frequency and sketch the corresponding displacement versus time graph.
💡 Hint: Remember the formula for natural frequency and how to sketch oscillatory functions.
Explain how changes in mass would affect the phase diagram of a vibrating system and what it implies about the velocity at maximum displacement.
💡 Hint: Think about how mass influences both shape and speed of oscillation in a dynamic system.
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