Section $4\mathrm{.}3$

$4\mathrm{.}14.$ A load inertia $I_2$ is driven through gears by a motor with inertia $I_1($Figure P$4\mathrm{.}14).$ The shaft inertias are $I_3$ and $I_4$; the gear inertias are $I_5$ and $I_6.$ The gear ratio is $5$:$1($the motor shafthas the greater speed$).$ The motor torque is $T_1,$ and the viscous damping coefficient is $c=1\mathrm{.}2lbft-s\frac{ec}{\text{r}\text{a}\text{d}}.$ Neglect elasticity in the system, and use the following inertia values $($in $se{c}^2-ft-l\frac{b}{r}ad)$:

$I_1=0\mathrm{.}01,I_2=0\mathrm{.}5$

$I_3=0\mathrm{.}001,I_4=0\mathrm{.}005$

$I_5=0\mathrm{.}02,I_6=0\mathrm{.}03$