(b). Given y=8x²°, y=0, x = 1₁ first we find the area! 8x3 A = SS dA I fox³ dydx [ [y] 8x³² dx = 8 (²x³dx =) A = 1. A = 8. 12/²7/1 Ix= 312 [#²] J you => [A=2] Now, moment of inertia about x-axis! Ix = Say²da =) S fox³yzdydx 8x3 3 ( [9³] 8x dx = 510 (x1de x9dx - 5 512 Ty = √₁₂²dA =) 3X10 moment of inertia about y-axis! youx? = 128 (2) →) Tx= 128-A 8x3 Só joz xezdydz x=1 [²x², jyye²de = 8 ('xsde [y] 8x3 xSdx 6 Iy = 8.1 ²² 1² ⇒ & = 4 8 6
(b). Given y=8x²°, y=0, x = 1₁ first we find the area! 8x3 A = SS dA I fox³ dydx [ [y] 8x³² dx = 8 (²x³dx =) A = 1. A = 8. 12/²7/1 Ix= 312 [#²] J you => [A=2] Now, moment of inertia about x-axis! Ix = Say²da =) S fox³yzdydx 8x3 3 ( [9³] 8x dx = 510 (x1de x9dx - 5 512 Ty = √₁₂²dA =) 3X10 moment of inertia about y-axis! youx? = 128 (2) →) Tx= 128-A 8x3 Só joz xezdydz x=1 [²x², jyye²de = 8 ('xsde [y] 8x3 xSdx 6 Iy = 8.1 ²² 1² ⇒ & = 4 8 6
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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