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The mass center $\backslash ($ G $\backslash )$ of a $\backslash (3-\backslash$mathrm$\{$kg$\}\backslash )$ wheel of radius $\backslash ($ R$=180\backslash$mathrm$\{$~mm$\}\backslash )$ is located at a distance $\backslash ($ r$=60\backslash$mathrm$\{$~mm$\}\backslash )$ from its geometric center C$.$ The centroidal radius of gyration of the wheel is $90$ mm $.$ As the wheel rolls without sliding, its angular velocity is observed to vary. Given, $\backslash (\backslash$omega$=11\backslash$mathrm$\{$rad$\}/\backslash$mathrm$\{$s$\}\backslash )$ in the position shown in the figure.

Determine the reaction at the horizontal surface at the same instant.

The reaction at the horizontal surface at the same instant is

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