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A circular disc of radius R is removed f...

A circular disc of radius R is removed from a bigger circular disc of radius 2R such that the cirucmferences of the discs coincide. The centre of mass of the new disc is `alpha/R` from the center of the bigger disc. The value of `alpha` is

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A circular disc of radius R is removed from a bigger circular disc of radius 2 R such that the circumferences of the discs coincide. The center of mass of new disc is alpha R from the center of the bigger disc. The value of alpha is

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A circular disc of radius R is removed from a bigger circular disc of radius 2R such that the circumferences of the discs touch. The centre of mass of the new disc is at a distance aR from the centre of the bigger disc. The value of a is