The figure below shows a block of mass M...

The figure below shows a block of mass M connected to an ideal string which passes through a thin fixed smooth pipe. On the other end, a particle of mass m is connected which revolves in a vertical circle of radius r. If the coefficient of friction between M and the surface is `mu = 2/3`, then for what minimum value of M, the block of mass m can undergo complete vertical circular motion?

`M_("min") = 6 m`

`M_("min") = 9 m`

`M_("min") = 3 m`

`M_("min") = 15 m`

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