A solid sphere (A) of mass 5m and a spherical shell (B) of mass m, both having same radius, are placed on a rough surface. When a force of same magnitude is applied tangentially at the highest points of A and B, they start rolling without slipping with an acceleration of \({\mathrm{a}}_{\mathrm{A}}\) and \({\mathrm{a}}_{\mathrm{B}}\), respectively. The ratio of \({\mathrm{a}}_{\mathrm{A}}\) and \({\mathrm{a}}_{\mathrm{B}}\) is ____________.

[JEE Main 2026, 6 Apr (Shift 2)]

Question

A solid sphere (A) of mass 5m and a spherical shell (B) of mass m, both having same radius, are placed on a rough surface. When a force of same magnitude is applied tangentially at the highest points of A and B, they start rolling without slipping with an acceleration of \({\mathrm{a}}_{\mathrm{A}}\) and \({\mathrm{a}}_{\mathrm{B}}\), respectively. The ratio of \({\mathrm{a}}_{\mathrm{A}}\) and \({\mathrm{a}}_{\mathrm{B}}\) is ____________.

[JEE Main 2026, 6 Apr (Shift 2)]

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