From a circular disc of radius R, a square is cut out with a radius as its diagonal. The center of mass of remaining portion is at a distance from the center)

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

From the circular disc of radius 4R two small discs of radius R are cut off. The centre of mass of the new structure will be at

From the circular disc of radius 4R two small discs of radius R are cut off. The centre of mass of the new structure will be at

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

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

From a circular disc of mass M and radius R , a part of 60^(@) is removed. The M.I. of the remaining portion of disc about an axis passing through the center and perpendicular to plane of disc is

From a circular disc of mass M and radius R , a part of 60^(@) is removed. The M.I. of the remaining portion of disc about an axis passing through the center and perpendicular to plane of disc is

From a uniform disc of radius R, a small disc of radius (R)/(2) is cut and removed as shown in the diagram. Find the center of mass of the remaining portion of the disc.