1.3 cm 1.0 cm -0.5 cm 3.8 cm 0.5 cm AI B 3.6 cm PROBLEM 9.44 Determine the moments of inertia I, and I, of the area shown with respect to centroidal axes respectively parallel and perpendicular to side AB.
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- Please no hand writing solutionAxes A and B are centroidal for a given non-symmetric area and the product of inertia about these axes is 183.6 in“. Another set of axes, M and N, lie parallel to A and B at perpendicular vertical and horizontal distances from A and B of 5.76 in and 7.92 in, respectively. If the product of inertia about the M and N axes is 885.2 in“, determine the area magnitude. O in? O 18.15 in? 15.38 in? 10.61 in? 13.08 in? 22.19 in?Q1: For the shaded area shown in Fig. 1, determine the centroid coordinates. Q2: For the shaded area shown in Fig. 1, determine the polar moment of inertia with respoct to axis through the origin. y 2 cm 3 cm 2 cm 8 cm 2cm Fig. 1 semicircle R3 cm
- 50 mm 150 mm 150 mm 300 mm find the moment of inertia for this exercise, with the following formulas: Polar Jo= Iox + + Toy Iox - Icx + Adg² Toy = Icg + dobe ² Caculation of centroid attached below. use it to solve the question in red box asap Som Av 3com for Portion A₁ - the figure is symme about y-aris. 2=0. AL 120mm AALD Area of A₁ = 300x50 = 15000 Y₁ = y₁ y = 300 for Pation A2 Area Az = 50x300 = 15000 By Considering Centroid, from the Bottom of the section. 300+ 50 = ₁ + 3/2 = 325 Centroid (ā, y) = = [0₁ SE = 50mm A, Ya+ A₂4 0, A₁+A₂ 15000x150 +15000x325 15000 15000 (0.237.5)For the shaded area shown, given that a = 14 cm; b = 12 cm andt=1.5 cm a a 2a A. Determine the moment of inertia with respect to the x-axis Ix = cm4 B. Determine the moment of inertia with respect to the y-axis ly = cm4only HANDWRITTEN answer needed ( NOT TYPED)
- For the purple region bounded by a parabola with vertex at (-1, 5) and the green line, solve y = -a(x – h)? + k for: a. Area b. Centroid c. Volume when revolved 230° about the green line (-2.1, 2.2) d. MOI and radius of gyration about the x-axis using horizontal strips. e. MOI and radius of gyration about the y-axis using vertical strips. f. MOI and radius of gyration about the z-axis (1, n)Solve this asapQuestion 1 Determine the moments of inertia Ix andly of the area shown, Given L1= 3.6 cm, L2= 3.8 cm 1.3 cm 1.0 cm 0.5 cm L2 0.5 ст (0,0) A| B -L1-
- 4.) Find the moment of inertia about the indicated x-axis for the shaded area. r=4cm 10cm" POLAR MOMENT OF INERTIA " Please refer to the answer key (book from Engineering Mechanics by SInger) Please include the analyzation of figure so that i could undestand the steps and solution. Thankyou!4. Find the Area Moment of Inertia Ix about the X-axis, if a = 7 inches, b = 14 inches h = 7 inches, and Y bar = 3.11 inches to the Centroid of the diagam from the base of the diagram. The X-axis is Ithe horizontal axis that goes through the Centroid (C) and is located 3.11 inches (Y bar) from the base of the diagram. %3D MacBook Air