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- Calculate the radius of gyration with respect to the X-X centroidal axis of the area shown in the figure below. Please answer and show your work.arrow_forwardSee pictures for detailsarrow_forwardIn the fig. shown, compute the ff: 5 in Centroidal axis, ỹ = 8 in. Moment of inertia with respect to the base(x-axis), I = e-s in.-→e8 in.→|arrow_forward
- please solve with steps and explainationarrow_forwardThe coordinate axes in the figure run through the centroid of a solid wedge parallel to the labeled edges. The wedge has a = 6, b = 9, and c = 6. The solid has constant density 8 = 1. The square of the distance from a typical point (x,y,z) of the wedge to the line L: z = 0, y = 9 is r² =(y - 9)² + z². Calculate the moment of inertia of the wedge about L. um G/N Centroid at (0, 0,0)arrow_forwardSolve the questions about the multi-part beam shown below. a) Determine the geometric center of the multi-piece beam ( b) Calculate the moment of inertia of the multi-piece beam about its xx-axis (Ixx) (. c) Calculate the multi-piece beam's moment of inertia about its yy-axis (lyy) ( The multi-piece beam (0,0) Calculate the polar moment of inertia about the point (Ixy)arrow_forward
- Example :1. Determine the centroid. Find Moment of Inertia about AB 40 100 100 70 150 50 Aarrow_forward3.1 Determine the location of the centroid for the cross-section shown below and draw a scaled sketch of the cross-section, clearly showing the centroid and indicate its distance from the selected origin. (Start your calculations be setting an origin at the bottom, left-most point on the cross-section). 3.2 Calculate the second moments of areas about the centroidal axes for the beam cross- section. 100 mm у z X 10 mm 10 mm 10 mm Figure 3: Cross-section ww 00L ww OSLarrow_forward...arrow_forward
- Determine the area moment of inertia about the horizontal neutral axis (Ixx). Use the cutout method. Ignore shear force V.arrow_forwardDetermine the centroidal x-axis from the x-axis and the moment of inertia about centroidal x-axis for the shaded area in the figure below. Also, determine the radius of gyration with respect to centroidal x-axis.arrow_forward4arrow_forward
- International Edition---engineering Mechanics: St...Mechanical EngineeringISBN:9781305501607Author:Andrew Pytel And Jaan KiusalaasPublisher:CENGAGE L