please solve thisConsider the structure shown in Figure Q$1.$ The columns are massless. The

structure is connected to a dashpot with a damping constant, c$.$ The columns

have $EI=1kNm2$ and $GA=$ and are axially inextensible.

a$)$ Find the damping constant, c$,$ such that the third peak displacement is

one fourth of the first peak displacement under free vibrations

$\{$:$0\mathrm{.}25u_{\text{m}\text{a}\text{x}\text{,}1}).$

$[10$ marks$]$

b$)$ Verify whether the upper column, with flexural strength of $16kNm,$ can

withstand the actions generated by the external force $P(t)$ described in

Table Q$1.$ Assume a linear variation of the force varies between the

datapoints presented in the table.

$[10$ marks$]$

Make appropriate assumptions for any missing information and state them

clearly in your solutions.