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The discussion focuses on calculating the moment of inertia for a column with specified dimensions The user initially struggles with determining the neutral axis and applying the parallel axis theorem correctly, leading to incorrect values for ixx and iyy. The user seeks equations for ixx, iyy, izz, and mixed terms like ixy, ixz, and iyz

Additionally, mixed terms such as ixy are zero when the axes are aligned with the. (i_ (\times )=9.78 (kg).m^ (2)) The discussion centers on the differences in mass moments of inertia for a rectangular block, specifically why izz differs from ixx and iyy

It highlights that while ixx and iyy are equal for a cube, izz is not, due to the axes' relation to the center of mass (com)

The calculations provided confirm that ixx requires the parallel axes theorem, while izz can be. Io refers to the moment of inertia around an axis through the origin, implying symmetry in all directions around that point, which. While both ixx and iyy could be calculated, the relevant value is determined by the direction of the applied shear The formula for shear stress at p is τ = (v) (qx)/ (ixx) (t), where v is the vertical shear force, qx is the first moment of area, and t is the section thickness.

The spreadsheet includes columns for mass and component coordinates, with calculations for inertia about ixx, iyy, and izz The user has created equations for these calculations but is uncertain about their accuracy They provide formulas for calculating the center of gravity and moment of inertia, seeking assistance to verify their approach. The user seeks to understand how these inertia values influence the vehicle's behavior, particularly regarding weight transfer and squat during acceleration

It is clarified that while inertia moments do not.

The discussion focuses on calculating the moment of inertia tensor for a cylinder with height 2h and radius r, specifically about its axis of symmetry The user is working in cartesian coordinates but is encountering difficulties, particularly with the integration limits and the density definition It is suggested that using polar coordinates could simplify the. Engineering mechanical engineering mechanical engineering questions and answers the homogeneous cylindrical shell has a mass m=12kg

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