7. Free Vibration of Single Degree of Freedom (SDOF) System

Try these first

1. 1.

   What is free vibration?

   Hint

   Think about what happens when you release a swing.

2. 2.

   What are the components of an SDOF system?

   Hint

   Picture a mass attached to a spring.

3. 3.

   What is the primary variable that affects the natural frequency of an SDOF system?

   • Mass
   • Damping
   • Spring Stiffness

   Hint

   Consider how springs behave when altered.

4. 4.

   Free vibration occurs without external forces. True or False?

   • True
   • False

   Hint

   Recollect the definition of free vibration.

5. 5.

   A mass of 10 kg is attached to a spring with a spring constant of 500 N/m. Calculate the time period of oscillation.

   Hint

   Use the formula T = 2π√(m/k) for this calculation.

6. 6.

   Explain the impact of resonance in SDOF systems during an earthquake.

   Hint

   Think about real-life examples where structures failed due to resonance.