Page 21 - Microsoft PowerPoint - Rolling

φ 2 E 21

R
+ 2R
LogAhf
Substituting and integrating

+
φ F
hf
R
R
φ

µL φ 2 ArcTanB hf C

−
R ln
Hφ + µ
φ R hf −   +  
d 2
⋅ 2R f
µ ‡ R h

m ) In[1]:= Prof. Ramesh Singh, Notes by Dr. Singh/ Dr. Colton
φ Out[1]= 1 φ

2   
φ (
⋅ tan −
R R
2 +
R f
f h
h
∫
= 2µ

    m
Y flow
p h R
′ p ′ Y flow ln

    =
d
∫ p ′ f
Y
ln