Answer Happy

4. A rectangle has a base of 12 in. and a height of 24 in. a) Determine the moment of inertia with respect to the base using the approximate method by dividing the area into six equal horizontal strips. b) Use the exact formula from Table 3 (inside the back cover of the textbook) to determine the moment of inertia. b= 12" b=12 h = 24" h=24
TABLE 3 Properties of areas Shape Area (1) Moment of Inertia in Radius of Gyration in Polar Moment of Inertian Shape Ara (A) Moment of Inertia (l) Radius of Gyrution (r) Polar Moment flerta) b yu 11 12 R 's, CG x -0.00 CG P=0.60 សំ -X 1 - Loi + 2 - 15918 - O.SUSR ER 0 1 = 0. YE - - -2 x r. Semicircle Mortangle 41 CG 43 CU ' + HH 22 - 4- - A- =07851102-01 X 12 - Triangle La Hallucircle . Pa 5,- - 12 R d 12.4 A = -o-buli CX 4. 4 Jo- 12 -0.7854 12A -0.01 -1.754 1. Hollow rectangle 2 Circle Po CG 45 . ***** - 1- -USAR 1,- - 0264 SR V 47 -0.00KR 16 Quarter circle