Problem $16\mathrm{.}19$ modified

The control rod $\backslash ($ A C $\backslash )$ is guided by two pins that slide freely in parallel curved slots of radius $197$ mm $.$ The rod has a mass of $9\mathrm{.}7$ kg $,$ and its mass center is located at point $\backslash ($ G $\backslash ).$ Knowing that for the position shown the vertical component of the velocity of point $\backslash ($ C $\backslash )$ is $\backslash (1\mathrm{.}23\backslash$mathrm$\{$~m$\}/\backslash$mathrm$\{$s$\}\backslash )$ upward and the vertical component of the acceleration of point $\backslash ($ C $\backslash )$ is $\backslash (5\mathrm{.}0\backslash$mathrm$\{$~m$\}/\backslash$mathrm$\{$s$\}^\{2\}\backslash )$ upward, determine the magnitude of the force $\backslash ($ P $\backslash ).$ Note that the acceleration of point $\backslash ($ C $\backslash )$ comprises both tangential and normal components.

$\backslash [$

P$=$

$\backslash ]$

$($N$)$