A hollow sphere, a solid sphere, a disc and a ring all having same mass and radius are rolled down on an inclined plane. If no slipping takes place, which one will

take the smallest time to cover a given length?


Moment of inertia is the rotational analogous of mass.





Now,


So, the one with least moment of inertia will attain a higher speed. Hence, the solid sphere will take the smallest time.


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