(Solved): A cantilever beam with modulus of Young of E=207GPa, and dimensions a=0.15m,b=0.6m,L=4m, as ...

A cantilever beam with modulus of Young of $E=207\mathrm{GPa}$, and dimensions $a=0.15\mathrm{m},b=0.6\mathrm{m},\mathrm{L}=4\mathrm{m}$, as shown in the figure. The mass at the end is $\mathrm{M}=3000\mathrm{Kgr}$. By giving an initial displacement to the mass and releasing the system the ratio of successive amplitudes is found to be 1.1. Determine the value of the hysteretic equivalent constant viscous-damping ${\mathrm{c}}_{\mathrm{eq}}$. $\begin{array}{l}\text{ Area moment of }\\ \text{ Inertia of beam }\end{array}l=\frac{a^{3}b}{12}{k}_{eq}=\frac{3EI}{l^3}$ $1494.2\mathrm{Ns}/\mathrm{m}$ $1924.7\mathrm{Ns}/\mathrm{m}$ $2126.3\mathrm{Ns}/\mathrm{m}$ $1863.4\mathrm{Ns}/\mathrm{m}$