Gear $\backslash ($ A $\backslash )$ weighs $5\mathrm{.}000$ lb and has a radius of gyration of $\backslash (1\mathrm{.}3\backslash$mathrm$\{$in$\}$ ; $\backslash )$ Gear $\backslash ($ B $\backslash )$ weighs $10\mathrm{.}000$ lb and has a radius of gyration of $3$ in $.$; gear $\backslash ($ C $\backslash )$ weighs $13\mathrm{.}00$ lb and has a radius of gyration of $4\mathrm{.}3$ in $.$ A couple $\backslash (\backslash$mathbf$\{$M$\}\backslash )$ of constant magnitude of $40$ lb $-$in is applied to gear $\backslash ($ A $\backslash ).$

Determine the tangential force which gear $\backslash ($ B $\backslash )$ exerts on gear $\backslash ($ C $\backslash ).($Round the final answer to three decimal places.$)$

The tangential force which gear $\backslash ($ B $\backslash )$ exerts on gear $\backslash ($ C $\backslash )$ is

$\backslash (\backslash$boldsymbol$\{$x$\}\backslash$mathrm$\{$lb$\}\backslash$uparrow $\backslash ).$