If I roll two cylinders down a very slight incline?

if you applied the same amount of force the the smaller cylinder diameter will accelerate quicker than the large diameter cylinder.

and that is because of the larger moment of inertia for the larger diameter which need more force to move.

Good Luck

My guess is that small irregularities in the surface of the inclined plane or the cylinder interfere more with cylinders of small diameter than with large ones. Consider, for example, an ideal irregularity of a specific radius on the surface. The incline will need to be tipped more for the smaller-diameter cylinder to overcome the chocking effect of the irregularity than with the large-diameter cylinder.

When cylinders roll down an incline without slipping, the distribution of mass around the centers of the cylinders will also make a difference, even in ideal cases, but this effect can be predicted by mathematical calculation. Cylinders in which the mass is concentrated around the rim will roll more slowly than those with an even density throughout, which in turn will roll more slowly than those with the mass concentrated near the axis of rotation (hub).

Two cylinders of different diameters will accelerate down the slope equally.

However if you roll a cylinder, a hoop, and a sphere all of equal diameter down a slope you will notice different accelerations. That is because they all have different angular kinetic energies, and hence different angular accelerations which make their linear acceleration different.

the diameter has nothing to do with it. as long as the cylinders are both perfectly round and the surface isnt staggered in any way.the only forces at play here are friction and mass. now if they were powered in some way acrossed a flat plane, the diameter would come into play.

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The acceleration of a rolling body on inclined plane =a = g sinO / [1+ (I/mr^2) ]

Larger the moment of inertia(for same mass and same radius), smaller is the acceleration.

A hollow cylinder has more moment of inertia as compared to moment of inertia of a solid cylinder

A hollow cylinder will have less acceleration as compared

to acceleration of solid cylinder of same mass and same radius.

A solid cylinder will have less acceleration as compared

to acceleration of solid sphere of same mass and same radius.

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Newton's Law

Whether it's rolling or falling it is still the force known as gravity, that is creating the momentum.

the larger cyliner has larger raotaional inertial thus larger KE, use KE= 1/2mv^2+ Iw^2, has nothing to do w wight