9 pts. 3. Determine the moment of inertia about line a-a for the shaded area in the figure below. 2m 2m 4m 2m 6m 3m
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- Find the position of the centroid as well as the moment of inertia with respect to a horizontal axis passing through the centroid in two different ways: (a) By adding the areas. (b) Considering the absence of area as a negative area Answer: 1503.79cm4Determine the moment of inertia for the shaded region shown with respect to the y-axis. 80 mm 200 mm 80 mm 100 100 200 mm mm mm Select one: A. 3229.2X106 mm4 B. 3329.2X106 mm4 C. 4234.5X106 mm4 D. 768.9X106 mm4Question 3 Determine the moment of inertia of the shaded area about the x and y axes. x² = 1² x- Ans:=bh³ 15
- Determine the moment of inertia in __ x 107 mm4 about the centroidal y-axis.0Prob. 5. Calculate the moment of inertia of the shaded area about the x-axis. y = x²/3 1"- AT7. Determine the moment of inertia of the area shown in Fig. P-A17 with respect, to its centroidal axes. Ans. j = 202 mm; I, = 260 X 10° mm"; I, = 50.8 X 10 mm 300 mm 20 mm 20 mm 300 mm 20 mm 150 mm Figure P-A17
- Q3// Determine the moment of inertia of the shaded area about the centroid axis Ix. 2mm 5mm 1mm 5mm: Consider the blue shaded triangle with a semicircular hole at the top. The figure is not to scale. y 123 тm 37 mm 74 mm a) Determine the moment of inertia around the a-axis of the triangle without the hole. I, mm (for the solid triangle). b) Determine the moment of inertia around the a- axis for the shaded region; i.e. the triangle with the hole. I, mm (for the triangle with the hole).3.20 5.90 0.90 1.60 radius circle ΜΟΜΕΝT OF INERTIA 0.90 5.00 radius circle 3.20 1. Locate the centroid of the 0.90 shaded figure. 2.50 radius circle 2. Compute the moment of inertia 5.00 of the shaded figure along the centroidal x-axis. 7.50 5.00 5.50
- The shaded area has the following properties:IX = 1.26 x 106 mm4= 6.55 x 105 mm4 andPxy. = −1.02 105 mm4 Determine the moments of inertia of the area about thex’ and v’ axes if θ=30For the shaded area shown, determine the moment of inertia about a. centroidal Y- axisb. X - axisDetermine the moments of inertia of the Z-section about its centroidal Xo- and yo-axes. 110 mm 21 mm yo 160 mm 21 mm 21 mm -110 mm Answers: Ixo %3D i 11.3456 (106) mm4 lyo %3D i (10) mm4