7.5. Natural Frequency and Time Period

Try these first

1. 1.

   What does natural frequency tell us about an SDOF system?

   Hint

   Think about the system's speed of oscillation.

2. 2.

   State the formula for the time period.

   Hint

   Remember how gravity and mass influence the cycle time.

3. 3.

   What is the natural frequency of a system?

   • A measure of the mass of the object
   • The oscillation speed of the system
   • The stiffness of the spring

   Hint

   Focus on what describes the oscillation.

4. 4.

   The time period is always directly proportional to mass.

   • True
   • False

   Hint

   Consider how mass influences cycles.

5. 5.

   A mass-spring system has a mass of 10 kg and a spring constant of 500 N/m. Calculate the natural frequency and time period. What is the physical interpretation of these values?

   Hint

   Utilize the formulas for both natural frequency and time period.

6. 6.

   Discuss the relationship between natural frequency and structural integrity in buildings during an earthquake. Why is it crucial to consider natural frequency in design?

   Hint

   Think about how resonance impacts buildings under seismic loads.