Determine the radii of gyration for the shaded with respect to area shown in Fig. a. The x- and y-axes shown on the figure. b. The horizontal and vertical centroidal axes. y=2 2 in. 4 in.-
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- 3. Determine the moment of inertia with respect to the x-x and y-y centroidal axes for the following figure: Objects are Cen tured E3.5" 2"Determine the radii of gyration for the circular with respect to area shown in Fig. The x- and y-axes shown on the figure. 4 in. 5 in. 6 in.Determine the radii of gyration for the shaded area with respect to the x- and y-axes shown in Fig. shown on the figure. y2 - 3x 2 in. 3 in.
- 2. 20 mm 140 mm -100 mm yo Xo 20 mm 20 mm 100 mm- Determine the moments of inertia of the Z-section about its centroidal x and y axes. Consider x-axis to be at the extreme bottom of the figure and y-axis at the left most of this figure.04) In the figure shown, determine the centroidal coordinates and moment of inertia about x & y-axis, if the value of b=4 in. 0.5 in L3x3x -5 in -5 in2. 100 mm 20 mm Yo 140 mm 20 mm 20 mm -100 mm - Determine the moments of inertia of the Z-section about its centroidal x and y axes. Consider x - axis to be at the extreme bottom of the figure and y - axis at the left most of this figure.
- 1. Determine the moment of inertia with respect to the y-y centroidal axis for the following figure: iguit. -4.5" 1.25" 3"For the blue shaded area shown in the image below, if the dimensions are a = 2 in., b = 3 in., c = 6 in., and d = 5.5 in., determine the centroidal moment of inertia in in.4, Ix', about the horizontal centroidal axis x'. Answer must include 2 places after the decimal point.Quiz: Determine the moment of inertia of the section shown in figure a center X, axis and ¥, wxis. 0.25in 6in. 4in.
- Centroids and Moment of Inertia for composite figures Determine the centroids (x, ỹ) of the figure shown below from the axes of reference (blue arrows) Use the blue arrows as the axes of reference. Take note that when the axis of reference is not at the end of the figure, the left side / the downward side values must be negative using Varignon's Theorem. Ex: in finding & from the set y-axis, the value of the centroids of individual figures on the left is negative, while on the right side of the figure is positive. R20 Determine the Moment of Inertia (Not Centroidal) of the given figure (Ix) 20 30 1. Determine x [ Select] 2. Determine ỹ [Select] 3. Determine Ix [Select] >Problem#4. Determine the moment of inertia with respect to the centroidal x-axis and y- axis of the shaded area as shown in the figure y 25mm 60mm 25mm 60mm 25mm 60mm 25mm а. Determine the coordinates of centroid. Answer: b. Determine the Ixo answer: с. Determine the lyo answer: 90mmQuestion 5 Calculate the polar radius of gyration of the shaded area about its centroid C. given t = 105 mm, a = 500 mm, b = 640 mm. r = Blank 1 mm t round your answer to the nearest whole number. Blank 1 Add your answer -at xo b