6.4.1 - Equation of Motion for External Force
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Practice Questions
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What is the equation of motion for an SDOF system under an external force?
💡 Hint: Refer to the key equation discussed.
List the three components of an SDOF system.
💡 Hint: Remember the MCD acronym.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does F(t) represent in the equation of motion?
💡 Hint: Think about what force is applied externally.
True or False: The equation of motion can be solved using Laplace Transforms.
💡 Hint: Consider the advantages of transforming differential equations.
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Challenge Problems
Push your limits with advanced challenges
Consider a building modeled as an SDOF system with a mass of 500 kg, a damping coefficient of 100 N.s/m, and stiffness of 2000 N/m. An external force of 300 N is applied. Write the equation of motion and solve for the response under this force using the methods discussed.
💡 Hint: Start by inserting the values into the equation to observe motion.
Discuss how the equation of motion would change if the damping coefficient is increased significantly. What would this imply for the system's response?
💡 Hint: Consider the relationship between damping and oscillation behavior.
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