Practice Forced Vibration due to External Force (Mass Excitation) - 6.4 | 6. Equations of Motion of SDOF System for Mass as well as Base Excitation | Earthquake Engineering - Vol 1
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Forced Vibration due to External Force (Mass Excitation)

6.4 - Forced Vibration due to External Force (Mass Excitation)

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the equation of motion for a system subjected to mass excitation?

💡 Hint: What forces are included in the equation?

Question 2 Easy

Define resonance in the context of forced vibrations.

💡 Hint: What happens to the amplitude at this condition?

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does the equation of motion for forced vibration include?

Only inertia
Inertia
damping
and stiffness
Only damping

💡 Hint: Think about contributing forces in a dynamic system.

Question 2

True or False: The steady-state response to harmonic loading is a sinusoidal function.

True
False

💡 Hint: Recall the form of harmonic loading.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Demonstrate how varying damping affects the steady-state response of an SDOF system under harmonic loading.

💡 Hint: Consider dB levels and response curves.

Challenge 2 Hard

Analyze a system with given parameters: mass = 50 kg, k = 2000 N/m, under harmonic force F(t) = 100 N sin(ωt), ω = 4 rad/s. Determine amplitude and phase shift.

💡 Hint: Use the resonance condition to explore response characteristics.

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