(3) Calculate the frequency of the free vibration for the system shown in figures (4). Neglect the mass of the beam and take Ebeam = $7 \times 10^{10}$ N/m$^2$. Ans. 4.9235 Hz
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The natural frequency is given by the formula: f = (1/2π) * √(k/m) where f is the natural frequency, k is the stiffness of the system, and m is the mass of the system. In this case, we are neglecting the mass of the beam, so m = 0. Show more…
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Determine the natural frequency of vibration, in bending, of the system shown in Figs. $2.90(\mathrm{a})-$ (d) by modeling the system as a single-degree-of-freedom system. Assume that the mass is $m=50 \mathrm{~kg},$ spring stiffness is $k=10,000$ and the beam has a square cross section of $5 \mathrm{~cm} \times 5 \mathrm{~cm},$ and is made of steel with a Young's modulus of $207 \mathrm{GPa}$.
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