A$12\mathrm{.}1-$kg object hangs in equilibrium from a string with a total length of$$

$5\mathrm{.}30$m

$$and a linear mass density of$$

$=0\mathrm{.}00400$kg$/$m$.$

$$The string is wrapped around two light frictionless pulleys that are separated by a distance of$$

d$=2\mathrm{.}00$ m$.$