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A solid cylinder and a solid sphere, having same mass M and radius R, roll down the same inclined plane from top without slipping. They start from rest. The ratio of velocity of the solid cylinder to that of the solid sphere, with which they the ground will be:

Option 1 -

5 3

Option 2 -

4 5

Option 3 -

3 4

Option 4 -

1 4 1 5

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

  • 1 Answer

  • V

    Answered by

    Vishal Baghel | Contributor-Level 10

    2 months ago
    Correct Option - 4


    Detailed Solution:

    v = 2 g H 1 + k 2 / R 2

    V C y l i n d e r V S p h e r e = ( 1 + k 2 / R 2 ) S p h e r e ( 1 + k 2 / R 2 ) C y l i n d e r

    = 1 + 2 / 5 1 + 1 / 2 = 1 4 1 5

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