12. Cylinder with contour formed by two similar parabolic arcs meeting perpendicularly; see 

 Section 91(d): 



1 1 9 



1 q '^ ' 1 o 1 



1. Translation parallel to chord AB: k= - 1 = 0.525. 



2. Translation perpendicular to chord AB: k= 1 = 2.049. 



Here K = 1.8541, the complete elliptic integral of modulus V 1/2. 

 13. Cylinder whose contour is formed by four equal semicircles: 



jW = — (2 + 7?) p h ; for translation in any direction 



1 o 1 



k= K^ -1 = 1,100. 



2 + 77 



For K, see the preceding case. See Section 91(e). 

 14. Double circular cylinder, each cylinder of radius a; see Section 90: 



-00- 



M^= 2p 7T a^ 



,2i,2 — 



1. Translation parallel to line of axes AB: T,=pnalJ \ — -1 , k = — -1=0.645. 

 ^ ' ^ ^ 6 / 6 



2. Translation perpendicular to line of axes AB: T^=pTTa V^\ — ~l)> ^ = — -1 = 2.290. 



15. Cylinder of radius a sliding along fixed plane wall; see Section 90. 



fj = — p7rfl2(/2 (— - 1 



Wall 



M^^pTTO^, k= 1 = 2.290. 



387 



