Consider a situation in which a ring, a solid cylinder and a solid sphere roll down on the same inclined plane without slipping. Assume that they start rolling from rest and having identical diameter.

Option 1 -

The ring has the greatest and the cylinder has the least velocity of the centre of mass at the bottom of the inclined plane.

Option 2 -

The sphere has the greatest and the ring has the least velocity of the centre of mass at the bottom of the inclined plane.

Option 3 -

The cylinder has the greatest and the sphere has the least velocity of the centre of mass at the bottom of the inclined plane.

Option 4 -

Al of them will have same velocity.

0 4 Views | Posted 2 months ago
Asked by Shiksha User

  • 1 Answer

  • V

    Answered by

    Vishal Baghel | Contributor-Level 10

    2 months ago
    Correct Option - 2


    Detailed Solution:

    Using conservation of energy:

    m g h = 1 2 l c m ω 2 + 1 2 m v 2 = 1 2 l c m V 2 r 2 + 1 2 m v 2

    v 2 = m g h 1 2 l c m r 2 + m v 2

    So, sphere has the greatest velocity of COM and ring has least.

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