Hertzian contact theory on sin and cosine plane

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grecko94
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Hello guys, i`m currently making simulation of 2 dimension rolling disk on elastic sin/cosine plane. I`m just wondering if the theory applicable.
 
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What is a sin/cosine plane? We need a definition/description here before there can be a useful answer.
 
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something like this, but the cos surface is elastic and the disk is solid object.
 
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I cannot see any reason to doubt the applicability of Hertz' theory here.
 
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