Question

A solid sphere, a spherical shell, a ring and a disc of same radius and mass are allowed to roll down an inclined plane without slipping. The one which reaches the bottom first is

Answer 1

                                       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.

(b) is correct!

Approve! plz!

Answer 2

Answer:

spherical sphere

Explanation: