Question

If a mass of 10 kg suspended from a spring causes a static deflection of 1 cm, then the natural frequency of the system is

• A. 2.98 Hz
• B. 3.98 Hz
• C. 4.98 Hz
• D. 5.98 Hz

Hint:

Use \( f = \frac{1}{2\pi} \sqrt{g/\delta} \) for vertical spring-mass systems.

Answer 1

The Correct Option is C

The natural frequency \( f = \frac{1}{2\pi} \sqrt{\frac{g}{\delta}} = \frac{1}{2\pi} \sqrt{\frac{9.81}{0.01}} \approx 4.98\, \text{Hz} \).