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)

\[{{\left( \frac{3EI}{m{{L}^{3}}} \right)}^{\frac{1}{2}}}\text{rad/s}\]

\[{{\left( \frac{m{{l}^{3}}}{48EI} \right)}^{\frac{1}{2}}}\text{rad/s}\]

\[{{\left( \frac{48m{{l}^{3}}}{EI} \right)}^{\frac{1}{2}}}\text{rad/s}\]

\[{{\left( \frac{48EI}{m{{L}^{3}}} \right)}^{\frac{1}{2}}}\text{rad/s}\]

The natural frequency of transverse vibration of a massless beam of le

1.	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.	\[{{\left( \frac{3EI}{m{{L}^{3}}} \right)}^{\frac{1}{2}}}\text{rad/s}\]
Answer» D. \[{{\left( \frac{3EI}{m{{L}^{3}}} \right)}^{\frac{1}{2}}}\text{rad/s}\]

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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)

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