A coder $F,$ used to record in digital form the rotation of shaft $A,$ is connected to the shaft by means of the gear train shown, which

consists of four gears and three solid steel shafts each of diameter $d.$ Two of the gears have a radius $r$ and the other two a radius $nr.$

The rotation of the coder $F$ is prevented. Determine the angle through which end A rotates when $T=5\mathrm{.}8lb*in.,I=2\mathrm{.}4in.,d=\frac{1}{16}in.,G$

$=11\mathrm{.}2{10}^6,$ and $n=2.$