A small block of mass $m$ is placed on the rough inner surface of a hollow conical funnel rotating a

Question

A small block of mass $m$ is placed on the rough inner surface of a hollow conical funnel rotating about its vertical axis with angular velocity $\omega$. The half-angle of the cone at its lower vertex is $\alpha = 45^\circ$, and the coefficient of static friction between the block and the cone surface is $\mu = 0.5$. The block is located at a distance $r$ from the vertex along the surface of the cone.

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