# Dancing top

A top of mass $$m=0.5~\mbox{kg}$$ rotates with angular speed $$\omega=350~\mbox{rad/s}$$ around its axis which is tilted by a (constant) angle of $$\theta=45^{\circ}$$ as shown in the figure. The moment of inertia with respect to the top's axis is $$I=2 ~\mbox{g} \cdot\mbox{m}^{2}$$ and the distance from the tip of the top to the center of mass is $$l=10~\mbox{cm}.$$ Determine the force of friction $$f$$ in Newtons acting on the tip of the top.

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