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An object is allowed to roll down an inclined plane starting from rest (consider the object to be uniform and having same mass) then object having largest rotational momentum is (if rotated with same angular momentum)

1. solid sphere
2. spherical shell
3. solid disc
4. thin hollow cylinder

Correct answer: solid sphere

Solution

For rolling from rest down the same incline, the object with the smallest moment of inertia gains the greatest angular speed. Since rotational momentum is angular momentum, L = I\omega, the shape that rolls fastest can have the largest rotational momentum; among the listed uniform bodies, the solid sphere has the smallest I.

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