A circular are `(AB)` of thin wire frame of radius `R` and mass `M` makes an angle of `90^(@)` at the origin.The centre of mass of the arc lies at

One end of a thin uniform rod of length L and mass M_(1) is rivetted to the centre of a uniform circular disc of radius 'r' and mass M_(2) so that that both are coplanar. The centre of mass of the combination from the centre of the disc is (Assume that the point of attachment is at the origin).

A uniform thin rod of length 1m and mass 3kg is attached to a uniform thin circular disc of radius 30cm and mass 1kg at its centre perpendicular to its plane. The centre of mass of the combination from the centre of disc is

A uniform solid right circular cone of base radius R is joined to a uniform solid hemisphere of radius R and of the same density, as shown. The centre of mass of the composite solid lies at the centre of base of the cone. The height of the cone is

A uniform solid right circular cone of base radius R is joined to a uniform solid hemisphere of radius R and of the same density, as shown. The centre of mass of the composite solid lies at the centre of base of the cone. The height of the cone is

A uniform solid right circular cone of base radius R is joined to a uniform solid hemisphere of radius R and of the same density, as shown. The centre of mass of the composite solid lies at the centre of base of the cone. The height of the cone is

A circular arc of wire of radius of curvature r subtends an angle of p/4 radian at its centre. If i current is flowing in it then the magnetic induction at its centre is -