Three objects are connected by two ropes with two different tensions T$1$ and T$2$ in the left rope and right rope respectively.$$ The objects have mass m$1=1\mathrm{.}0$ kg$,$ m$2=2\mathrm{.}0$ kgand m$3=5\mathrm{.}0$ kg$.$ The pulleys are massless and frictionless.$$ At the moment drawn the middle block is moving to the right, sliding across a rough surface with an unspecified coefficient of kinetic friction.$$ All three objects are accelerating together at a rate a$=4\mathrm{.}5$ m$/$s$2.$