Practice Analogy with Free Vibration - 18.1.3 | 18. COLUMN STABILITY | Structural Engineering - Vol 2
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18.1.3 - Analogy with Free Vibration

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the purpose of the inertial force in a mass-spring system?

💡 Hint: Think about Newton's second law.

Question 2

Easy

What kind of equation describes the motion of a free vibrating system?

💡 Hint: Can you remember the standard form for these equations?

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What is the relationship between mass and inertial force?

  • Mass is not related to inertial force
  • Inertial force is proportional to mass
  • Inertial force decreases with mass

💡 Hint: Recall F=ma from Newton's second law.

Question 2

True or False: The characteristic equation can help determine a system's natural frequency.

  • True
  • False

💡 Hint: Think about why frequencies are important in vibrational analysis.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Consider a mass-spring system with m1 = 2 kg, m2 = 3 kg, and spring constants k1 = 100 N/m and k2 = 200 N/m. Derive the equations of motion and identify the natural frequencies.

💡 Hint: Utilize the characteristic equation for finding frequencies.

Question 2

Explore how the system reacts when applied forces are changed. How would you expect the behavior to differ with increased stiffness?

💡 Hint: Visualize the difference in a stiffer vs. looser spring.

Challenge and get performance evaluation