Mathematics · Mechanical Vibrations
A simply supported beam of length L = 2 m, mass per unit length m = 10 kg/m, and flexural rigidity EI = 2000 N·m2 undergoes free transverse vibration. Calculate the fundamental natural frequency ω1 in rad/s. (Take π2 ≈ 10 and √200 ≈ 14)
- 125 rad/s
- 214 rad/s
- 37 rad/s
- 435 rad/s✓
Correct answer
35 rad/s
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