Practice Initial Conditions and System Response - 7.6 | 7. Free Vibration of Single Degree of Freedom (SDOF) System | Earthquake Engineering - Vol 1
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is meant by initial displacement in an SDOF system?

💡 Hint: Think about the position relative to the resting state.

Question 2

Easy

How does initial velocity differ from initial displacement?

💡 Hint: Consider it as the speed or rate of change of position.

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 does the initial displacement x(0) represent in an SDOF system?

  • Position at t=0
  • Final position
  • Velocity at t=0

💡 Hint: Think about the starting point of oscillation.

Question 2

True or False: Initial velocity has no effect on the amplitude of the vibration.

  • True
  • False

💡 Hint: Consider how speed at the start influences oscillation.

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Challenge Problems

Push your limits with challenges.

Question 1

A block on a spring has an initial displacement of 2 m and is released with an initial velocity of 5 m/s. Find the equation for its motion and explain each component.

💡 Hint: Use the formula involving initial conditions to build the motion equation.

Question 2

If the initial conditions of a system are altered such that the displacement is halved, but velocity doubles, derive the new equation of motion.

💡 Hint: Translate altered conditions into the motion equation format.

Challenge and get performance evaluation