a solid, a ring and a circular disc of identical radii are rolling down on a inclined plane without slipping from the height starting from rest. which will reach the bottom first and which ill reach the bottom least

                                                     solid sphere              disc              solid cylinder

Moment of Inertia (I)                    (2/5)MR²                  MR² /2             MR² /2

Radious of Gyration (K)                Underoot(2/5)      R/root2           R/root2

Any of them on rolling on inclined plane will have an acceleration,

a = gsin8/R² + K²

It means maximum radius of gyration having object will have minimum acceleration.

Decrease in acceleration .i.e decrease in velocity and thus kinetic energy.

Now, Solid sphere has lowest value of ''K'' thus it rolls down with maximum speed.

Hence it will reach the bottom first.

And disc and solid sphere will reach at the same time with same speed.