Consider an infinitesimally thin ring section of radius r and thickness dr. The mass
of this thin ring section is given by where p is the density of the ring. Each point in this thin ring section experiences a tangential linear acceleration of 
. When viewed from the reference frame fixed to the ring, this translates to a pseudo force 
. This pseudo force translates to a pseudo torque 
. The net torque is then given by,
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