It is obvious that based on design of the police and setup that certain situations are going to create for one hydro is more likely to slip than another but I really for the life of me don't know why it would shorten the life of that one anyways..There are exceptions. I just did a Big Dog (Hustler) mower where this just the reverse as the system is a reversed setup. Otherwords the tensioner is on the RH hydro side. Actually the LH hydro is failing on this unit and it because it is under tension. The engine pulls on the LH hydro first.
So you can not always assumed the idler tension is being applied to the LH hydro. It all depends on the setup.
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There's just that not that much slippage going on. I mean unless the belt is so loose or glazed or whatever that you're actually not getting results from the input of your controls that it's slipping so bad then the fan is still running just about as fast as the other one so I just don't see why it has such a potential effect on the life of the unit.
I can see why the one closest or the first one driven from the engine could be subjected to a little bit more roughness and harsher conditioned with less cushioning as the belt gets around to the other side and pulling on things to the other hydro but really, the belts pretty abrupt and rough on anything it touches.
I'm not denying that this is the case, I just have never really come up with a good logical reason as to why it occurs.