7= Fluid inside elliptic-cylindrical shell rotating about its axis: 



1 (a2-62)2 



*. /fluid/ 



Axis of 

 Rotation 



/ 



T, = — on ab ■ 



o)^, as in Equation [105m], 



a^ + b' 



1 2 2 fa^-b^Y 



8. Fluid inside semicircular cylindrical shell rotating about axis of the semicircle 



Axis of 

 ^Rotation 



r, = — I — - — 1 p a/* w^, as in Equation [102e], 



'^Fluid / 



K^~7 P "'*' 

 4 



k = 2[ 1= 0.621, 



9o Fluid inside equilateral triangular prism rotating about its central axis: 



Axis of 

 ^Rotatio^ 



T, = = p s'*w'^, as in Equation [103k], 



1 soyr 



Fluid ^ 



1 16 yr 



2 

 k = —. 

 5 



10. Lamina bent in form of circular arc, in translation at angle 9 with chord: 



1 / rl"^ 



T, =— p;7 [62sin20 + — )[y2 as in Equation [78r]. 

 ^ 2 '^ \ 21 



11. Cylinder with contour consisting of two similar circular arcs; see Section 89. 



9=180/ 

 degrees 

 A<^ fSlT'" Cross-sectional area S 



__je = 180 / 



'2c degrees 



sin^e L 



2(1-/) 77 + sin 2 9 



1 o 2;r / 1 

 1. Translation parallel to chord AB. T^=— pk SU^, * = "T" — " ^ T " ^° 



2 3 I y 2 / O 



2. Translation perpendicular to chord AB: 7",= — ok SV^. k= — f — ^+1)— — -1. 



^ ^ 1 '^ '^ 3 12/2/5 



2n 1 



386 



