Practice Free Body Diagram Analysis (6.6.1) - Equations of Motion of SDOF System for Mass as well as Base Excitation
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Free Body Diagram Analysis

Practice - Free Body Diagram Analysis

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is a free body diagram?

💡 Hint: Think about visualizing forces.

Question 2 Easy

What does base excitation refer to?

💡 Hint: Remember earthquakes and their effects.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does the right-hand side of the equation mu¨(t) + cu˙(t) + ku(t) = -mu¨g(t) represent?

Applied force
Pseudo-force due to ground motion
Restoring force

💡 Hint: Think about forces that affect the mass due to ground shaking.

Question 2

True or False: The mass's inertia is irrelevant in the analysis of structures under earthquakes.

True
False

💡 Hint: Consider how an object behaves when moving.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Consider a system where a mass is subjected to ground motion. Analyze how modifying the stiffness of the system changes its response to seismic loads.

💡 Hint: Think about the relationship between stiffness and response frequency.

Challenge 2 Hard

Sketch a free body diagram for a mass experiencing both gravitational and inertial forces during ground motion. Indicate all forces acting on the mass.

💡 Hint: Remember to draw arrows to signify the direction and magnitude of each force.

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