Question

determine the moment of inertia I_ of the shaded area about X axis

Determine the moment of Inertia I of the shaded Area about X axis. sin t ein kuin r= 2in

Answer 1

LOCATION OF AREA Ai 5; 4; 5 ELEMENT 12 /2 RECTANGLE 576 8x12 = 96 TRIANGLE 1 x 6 x12 = 36 288 = 8 CIRCLE - a (2) 2 =-12.57 4 3 - 37.71. E = 119.43 826. 29. .: 9 - SA J = 6.92 in. ZA ELEMENT Ai (9:- 9)? In RECTANGLE 96 (6-6.92)² 1 x 8 x12² = 1152 = 31.254 23 TRIANGLE + x 6x223. = 288 36 (8-6.9233 = 42 CIRCLE - art - - 12.57. - 12.57(3- 6.92)² =-193.16 1427.43 - 69.906 Ix = x + Ai (5 – 9)² = 1427-43 - 69.906 = 1357.524 in .