A mass, m $(100$kg$)$ is suspended by a rigid link to a propped cantilever beam at point B as shown in the Figure $5.$ Assuming that the beam is massless and there is no damping in the system. Take the flexural rigidity, EI of member AB and BC as $380075$ N$.$m$2$ and infinite, respectively. Find the natural frequency of vibration of the beam$-$mass system. Determine

the resulting displacement response of the mass, m$,$ if the support C is suddenly removed.

Also, re$-$analyze the system when the flexural rigidity of member BC is $.$A mass, $m(100kg)$ is suspended by a rigid link to a propped cantilever beam at point $B$ as

shown in the Figure $5.$ Assuming that the beam is massless and there is no damping in thesystem. Take the flexural rigidity, $EI$ of member $AB$ and $BC$ as $380075$ N$.$m$^2.$ and $,$respectively. Find the natural frequency of vibration of the beam$-$mass system. Determinethe resulting displacement response of the mass, $m,$ if the support $C$ is suddenly removed.

Also, re$-$analyze the system when the flexural rigidity of member $BC$ is $.$