A thin uniform \( \operatorname{rod} A B \) of mass \( 1 \mathrm{~kg} \) moves translationally w...

A thin uniform \( \operatorname{rod} A B \) of mass \( 1 \mathrm{~kg} \) moves translationally with acceleration \( a=2 \mathrm{~m} / \mathrm{s}^{2} \) due to two antiparallel forces \( F_{1} \) and \( F_{2} \). The distance between the points at which these forces are applied is equal to \( l= \) \( 0.2 \mathrm{~m} \). If force \( F_{1}=8 \mathrm{~N} \), then find the length of the rod in meter.