Problem $2(10$ points$)($Don$\text{'}$t need to calculate$)$

Consider the beam as shown, which is supported by rollers at B and C $,$ a fixed support at A $.$

$($a$)$ Determine the degree of the structural indeterminacy $($show your work$).$

$($b$)$ Propose a statically determinate structure by designating redundant reaction force$($s$),$ which you would use if you were to solve this problem using the Force Method.

$($c$)$ Write the compatibility equation$($s$)$ that need to be satisfied for the statically determinate structure that you selected in $($b$)$ when using the Force Method. Provide all sketches necessary to define your notations. $($e$.$g$.,$ the direction of the reaction forces and displacements you assume positive$)$