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  • A solid cylinder and a hollow cylinder, both of the same mass and same external diameters are released from the same height at the same time on an inclined plane. Both roll down without slipping. W

A solid cylinder and a hollow cylinder, both of the same mass and same external diameters are released from the same height at the same time on an inclined plane. Both roll down without slipping. Which one will reach the bottom first?

Option: 1

Both together only when angle of inclination of plane is 45°


Option: 2

Both together


Option: 3

Hollow cylinder


Option: 4

Solid cylinder


Answers (1)

best_answer

Acceleration of the body (pure) rolling  on the inclined plane,

  a=\frac{g\sin\theta}{1+\frac{I}{MR^2}}

Now  as I_{solid \ cylinder} < I_{hollow \ cylinder}   < I_{hollow \ \ cylinder}  ?    for same mass and radius

a_{solid \ cylinder}   > a_{hollow \ cylinder}

Thus solid cylinder will reach the bottom first.

Hence, option 4 is correct.

Posted by

Pankaj Sanodiya

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