A massless cantilever beam, with a tip mass m of $10 \: \mathrm{kg}$, is modeled as an equivalent spring-mass system as shown in the figure. The beam is of length $\mathrm{L}=1 \mathrm{~m}$, with a circular cross-section of diameter $\mathrm{d}=20 \mathrm{~mm}$. The Young's modulus of the beam material is $200 \: \mathrm{GPa}$.
The natural frequency of the spring-mass system is $\_\_\_\_\_\_\_ \: \mathrm{Hz}$ (rounded off to two decimal places).
