Rolling Fricition, Kinetic Friction

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Prannoy Mehta
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Does rolling friction depend on the surface area? In other words, the size of the object placed? If I had a block and sphere of the same mass. Without static and kinetic friction coming into play. Which would experience greater rolling friction if they were on the same incline and of the same material and mass?

If I had a similar scene with a cube and cuboid (The base area of the cuboid is more, they are made of same materials and have the same mass.). Which would go down first if kinetic friction is considered? Assuming no toppling.
 
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Yes. Toppling over and over again. (With a good speed) Giving a picture that it is rolling.
 
Yes, very true. I forgot about it. So I will reframe my first question.

Does rolling friction depend on the surface area? In other words, the size of the object placed? If I had two spheres (With radii r1 and r2. r1>r2) of the same mass. Without static and kinetic friction coming into play. Which would experience greater rolling friction if they were on the same incline and have similar forces between the atoms of one another? (I mentioned the latter condition to simply ensure that there is nothing to do with the interatomic forces between the atoms of the spheres with that of the plane. As the materials will be different. If not appropriate please modify the condition to convey the same message.)
 
If the wheels on a railway freight car were swapped with wheels similar but of a greater diameter, how will its rolling resistance be expected to change? ... does that say what you seek?

I could only guess the answer, hopefully someone else can help you with this.
 
Yes, precisely. Just assuming the wheels are perfect discs.