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A hemispherical bowl of radius R is rota...

A hemispherical bowl of radius R is rotated about its axis of symmetry which is kept vertical.A small block is kept in the bowl at a position where the radius makes an angle `theta` with the vertical. The block rotates with the bowl without any slipping. The friction coefficient between the block and the bowl surface is `mu`. Find the range of the angular speed for which the block will not slip.

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