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a round cone A of mass m=3.2 kg and half angle ( alpha=10o ) rolls uniformly without slipping along a round conical surface B so that its apex O remains stationary. The centre of gravity of the cone A is at the same level as the point O and at a distance ( l=17 cm ) from it. The cone's axis moves with angular valocity ( omega ). Find the static frictional force acting on the cone A if ( omega=1 rad/s ) and also find at what values of omega the cone A will role without sliding, if the coefficient of friction between the surface is equal to ( meu=0.25 ). where meu is coefficient of friction between the surfaces.
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