Which will reach the bottom first?

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SUMMARY

The discussion centers on the physics of two cylindrical rods of varying diameters rolling down an inclined plane without friction. Participants analyze the torque generated by the rods' weight and the implications of energy conservation on their velocities. It is concluded that while the larger diameter rod has a lower angular velocity due to its increased moment of inertia, the distance covered and final velocities depend on the relationship between linear and rotational kinetic energy. Ultimately, both rods reach the bottom simultaneously, despite differences in their rotational speeds.

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  • Understanding of torque and its relation to angular motion
  • Familiarity with energy conservation principles in physics
  • Knowledge of rotational kinetic energy and moment of inertia
  • Ability to analyze free body diagrams
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  • Study the relationship between linear and rotational motion in cylindrical objects
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  • Explore the implications of static friction in rolling motion
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  • #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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