Problem $1(20$ points$)$

How many degrees of freedom has the system shown in Fig. $1\mathrm{.}1.$ List generalized coordinates that can be

used to define the state of this system. Choose a set that defines the state of this system.

Figure $1\mathrm{.}1$: The system has a similar mechanism as that of a cylinder of a combustion engine. The piston

here is replaced by two blocks connected by springs.