Which will reach the bottom first?

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The discussion revolves around the dynamics of two cylindrical rods of different diameters rolling down an inclined plane without friction. Participants debate whether the larger or smaller diameter rod will reach the bottom first, emphasizing the importance of torque and energy conservation in their calculations. It is concluded that while the larger rod has greater mass and moment of inertia, its velocity will be lower due to the distribution of energy between rotational and linear forms. The conversation highlights the complexity of the problem, suggesting that multiple equations and principles, including energy conservation, are necessary to derive the final answer. Ultimately, the conclusion is that the larger diameter rod will roll slower, but the exact timing of their descent remains a nuanced topic.
  • #31
You will have to use multiple equations, yes, but what I am saying is there's multiple ways to go about solving the problem. Kinematics and energy conservation.
 
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  • #32
A.T. said:
Do you mean there is static contact friction that makes it roll, but no rolling resistance that dissipates energy? If that's the case, then you can use energy conservation to find the speeds.
I just read this and your answer. Ignore my other post. I think energy conservation would be a lot easier to solve the problem with. But I could be wrong. I suggested the ##\Delta t## after reading the problem statement as that would be the time it takes for the cylinder to reach the bottom of the ramp from Top. Are you confused about how to use the math, physics, or the process, or all of the above?
 
  • #33
Shinaolord said:
I think energy conservation would be a lot easier to solve the problem with.
Yes, and I think jbriggs444 already did that in post #25.
 

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