Determine the moment of inertia of the area about the x
axis. Given that R = 2.0 in .
Determine the moment of inertia of the area about the y
axis. Given that R = 2.0 in .
Answer
in in 6 in in 6 in Consider the composite figure as Rectangle "1" minus Triangle "2" and Circle "3" Moment of Inertia of the Rectangle about x - axis 6x (10) (1) 2000in' Moment of Inertia of the triangle about x - axis 2x6 36)3x643 x/236 (), 18+576 (4),-594 in' Moment of Inertia of the circle about x- axis 쯔(2), π (2), (4). (1),-12.57+201.1 (1 213.68i Moment of Inertia of the Entire Shaded area aboutx- axis I_ -2000- 594 - 213.63 I, 1192.37 in Moment of Inertia of the rectangle about y - axis 10x(6) I,, ), = 720 in4 Moment of Inertia of the triangle about y - axis (I,), -229.5 in Moment of Inertia of the circle about v- axis (1,), -125.66 in Moment of Inertia of the entire shaded area about y - axis I.-720-229.5-125.66 I, 364.84 in
