Belt friction between two pulleys.

AI Thread Summary
The discussion revolves around the tension relationship between two pulleys connected by a belt, specifically questioning why T1 is set to 1 to derive T2. Participants clarify that T1 represents the maximum tension on the tight side, leading to the equation T1/T2 = e^u0. There is confusion about the dimensional validity of T2 = e^-µθ, with suggestions that it may be a misprint. The importance of maintaining dimensionless quantities in the equations is emphasized. Overall, the thread highlights the complexities of understanding belt tension dynamics in pulley systems.
Oakwater
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Homework Statement

http://imageshack.us/m/135/2262/beltz.jpg

I do no understand as shown in the above picture why T1 = 1 to make e^u0 = e^-u0, could anyone offer an explanation as to why this is the case?

Thanks

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The Attempt at a Solution

 
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As far as I can see what has been done is that given that T1/T2 = e^u0 then T1/e^u0 = T2.
Knowing that T1 is tightside tension and therefore Tmax, how is it that T1 = 1 in order to rearrange for T2 = e^u0?

I'm sure the answer is very obvious but I really can't see what is going on.
 
Hi Oakwater! :smile:

(have a mu: µ and a theta: θ and try using the X2 and X2 icons just above the Reply box :wink:)

It must be a misprint for T2 = T1e-µθ

T2 = e-µθ isn't dimensionally possible :redface:

esomething has to be a dimensionless number.​
 
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