• # question_answer The natural frequency of transverse vibration of a massless beam of length L having a mass m attached at its midspan is given by:       (El is the flexural rigidity of the beam) A) ${{\left( \frac{m{{l}^{3}}}{48EI} \right)}^{\frac{1}{2}}}\text{rad/s}$ B) ${{\left( \frac{48m{{l}^{3}}}{EI} \right)}^{\frac{1}{2}}}\text{rad/s}$C) ${{\left( \frac{48EI}{m{{L}^{3}}} \right)}^{\frac{1}{2}}}\text{rad/s}$D) ${{\left( \frac{3EI}{m{{L}^{3}}} \right)}^{\frac{1}{2}}}\text{rad/s}$

$k=k=\frac{48EI}{{{l}^{3}}}$ ${{\omega }_{n}}=\sqrt{\frac{k}{m}}=\sqrt{\frac{48EI}{m{{l}^{3}}}}$