READING QUIZ For a two-dimensional area contained in the x-y plane, the moment of inertia about the x-axis is represented by A)  y 2 dA. B)  x 2 dA. C)  (x 2 + y 2 ) dA. D)  xy dA.

READING QUIZ The radius of gyration of a planar area with respect to the y- axis, k Y is equal to __. A)  I X / A B)  I Y / A C)I X / A D)I Y / A

CONCEPT QUIZ For determining the moment of inertia of the enclosed area about the y-axis, we should use a ___. A)vertical rectangular element. B)horizontal rectangular element. C)triangular element. D)None of the above. y = x 2 y =  x y x

CONCEPT QUIZ In the figure shown, a horizontal differential element is chosen to determine I Y. The moment of inertia of the element with respect to y-axis is A)dI Y = y 3 dy 3 B)dI Y = y dy 12 C)x 3 dy 12 D)y dy 3 y = x 3 x y x y dy

ATTENTION QUIZ For the rectangular area shown, determine the moment of inertia about x axis. A) 9 in 4 B) 16 in 4 C) 316 in 4 D) 208 in 4 x’ 3” 4” 3” x