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At any given instant the rolling of the ring is equal to rolling on a rough inclined plane, which is tangential to given surface at that instant, at an angle given by
Formula for friction force of a rolling body without slipping on a rough inclined plane is given by , where K is the radius of gyration of the rolling body about an axis passing through its center of mass.
Given tan θ = 2x, then and K = 1 for a ring. Substituting these values we get .
Hence N = 4.
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