Chapter 10, Problem 20P

Determine the moment of inertia and the radius of gyration of the shaded area shown with respect to the x axis.

Determine the moment of inertia of the shaded area with respect to the y axis.

Determine the moments of inertia of the shaded area with respect to the x and y axes. use a horizontal differential element of thickness for both calculations.

Determine the moment of inertia and the radius of gyration of the shaded area with respect to the x-axis. Given: a = 11.4 mm. 8 mm- 24 mm -24 mm 6 mm 24 mm 24mm The moment of inertia is The radius of gyration is 6 mm 10³ mm4. mm.

Determine the moments of inertia of the shaded area about the x- and y-axes. Also determine the polar moment of inertia about point O. -0.57h -0.57h 0.59h h Answers: Ix = h4 Iy = h4 Io = h4

please show all you work thank you

Determine by direct integration the moment of inertia of the shaded area with respect to the y axis.

Determine the moment of inertia of the shaded area about the y-axis. 3" 11" 12" Parabolic Answer: ly = 1 in.4

Determine the moment of Inertia about given x and y axis in the following figure if a = 10 mm.