1.

In a ring ABCD of radius r, the lower half ABC has mass m and the upper half ADC has mass 2m. In both parts, the masses are distributed evenly. The ring is initially at rest on a horizontal surface, as shown. O is the centre of the ring. The ring is now pushed very slightly and begins to roll on the horizontal surface without slipping. When it has made half a rotation, i.e., B is vertically above D, its angualar velocity omega will be given by (where beta = g//pir)

Answer»

`OMEGA^(2) = 3beta//2`
`omega^(2) = 4beta//3`
`omega^(2) = 8beta//5`
`omega^(2) = 9beta//4`

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