Question

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)

• A. solid sphere
• B. spherical shell
• C. solid disc
• D. thin hollow cylinder

Answer 1

The correct option is D thin hollow cylinder

$\omega$ is constant

$\therefore L=I\omega \propto II=m{k}^2$

Thus body of highest k has maximum rotational momentum.

$\therefore$ hollow cylinder has highest rotational momentum.