What Happens When Combining Mass and Incline in Cylinders?

Thread starter zhenyazh
Start date Jan 13, 2010
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Cylinders Incline

AI Thread Summary

When considering the motion of cylinders on an incline, the moment of inertia (i) and mass (m) significantly affect their acceleration. For cylinders of the same mass, a smaller moment of inertia results in faster acceleration down the incline. However, when both mass and moment of inertia vary, the relationship becomes less straightforward. A more complex analysis involving rotational dynamics and energy conservation principles is necessary to determine the outcome. Understanding these interactions is crucial for accurately predicting the behavior of the cylinders.

Jan 13, 2010

zhenyazh

hi
my question is fully attached as an image.
for cylinders with the same mass i know how to sort them.
the smaller the i the faster it will go.
but what happens if i have combination of change of i and m.
i guess i will need a less intuitive approach.
can some one tell me how to do this?

thanks

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Jan 14, 2010

zhenyazh

anybody?

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