A rigid bar suspends a mass as shown in Fig. $($a$)$ with a torsional spring with stiffness kt and $2$

translational springs with stiffnesses, k$1$ and k$2.$ The same system is now rearranged in the

configuration shown in Fig. $($b$).$ What is the distance, x$,$ that spring $1$ should be placed from the

fixed end so that the system as the same equivalent stiffness as in $($a$)?$ Show all your work

including the expressions for equivalent stiffness that you derive for each configuration.