Practice Free Vibration of Undamped SDOF System - 6.2 | 6. Equations of Motion of SDOF System for Mass as well as Base Excitation | Earthquake Engineering - Vol 1
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Free Vibration of Undamped SDOF System

6.2 - Free Vibration of Undamped SDOF System

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the governing equation for free vibration of an undamped SDOF system?

💡 Hint: Think about Newton's laws applied to vibrations.

Question 2 Easy

What does the natural frequency indicate?

💡 Hint: It is dependent on mass and stiffness.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the equation representing free vibration of an undamped SDOF system?

a) mu¨(t) + ku(t) = F(t)
b) mu¨(t) + ku(t) = 0
c) mu¨(t) + c u˙(t) + ku(t) = 0

💡 Hint: Remember, this involves no external forces.

Question 2

True or False: Free vibrations include the effect of damping.

True
False

💡 Hint: Recall the assumptions for free vibration.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

A mass of 15 kg is attached to a spring with a stiffness of 300 N/m. Calculate the natural frequency and explain its significance in the context of an undamped SDOF system.

💡 Hint: Use the natural frequency formula.

Challenge 2 Hard

If the same system experiences initial conditions of 5 cm displacement upwards and is released, describe the motion in terms of free vibrations.

💡 Hint: Think about how the displacement directly relates to harmonic motion.

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