COSMOS: Complete Online Solutions Manual Organization System
Chapter 9, Solution 1.
First note: Have
y=
b2 − b1 x + b1 a
I y = ∫ x 2dA b2 − b1 x + b1 a a x 2d ydx 0 0
=∫ ∫
a b − b1 = ∫ 0 x2 2 x + b1 dx a a
1 b − b1 4 1 3 = 2 x + b1x 3 4 a 0 =
1 3 a ( b1 + 3b2 ) 12 Iy =
Vector Mechanics for Engineers: Statics and Dynamics, 8/e, Ferdinand P. Beer, E. Russell Johnston, Jr., Elliot R. Eisenberg, William E. Clausen, David Mazurek, Phillip J. Cornwell © 2007 The McGraw-Hill Companies.
1 3 a ( b1 + 3b2 ) 12