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- https://eng.libretexts.org/Bookshelves/Civil_Engineering/Book%3A_All_Things_Flow_-_Fluid_Mechanics_for_the_Natural_Sciences_(Smyth)/13%3A_Appendix_B-_Torque_and_the_Moment_of_InertiaIn this section we take a brief excursion into solid-body mechanics, specifically rotational motion. This will give us an example to use in the next section when we define a tensor, and also a simple ...In this section we take a brief excursion into solid-body mechanics, specifically rotational motion. This will give us an example to use in the next section when we define a tensor, and also a simple result that we will need later to understand forces acting within a fluid.
- https://eng.libretexts.org/Bookshelves/Introductory_Engineering/EGR_1010%3A_Introduction_to_Engineering_for_Engineers_and_Scientists/14%3A_Fundamentals_of_Engineering/14.11%3A_Mechanics/14.11.02%3A_Dynamics/14.11.2.02%3A_KineticsMotion with regards to force.
- https://eng.libretexts.org/Bookshelves/Mechanical_Engineering/Mechanics_of_Materials_(Roylance)/04%3A_Bending/4.02%3A_Stresses_in_BeamsThis page covers beam stress theory, mainly attributed to Leonard Euler, which details normal and shear stresses in beams under bending loads. It discusses the construction of shear and bending moment...This page covers beam stress theory, mainly attributed to Leonard Euler, which details normal and shear stresses in beams under bending loads. It discusses the construction of shear and bending moment diagrams, key concepts like moment of inertia and buckling, and how these factors affect stress calculations.
- https://eng.libretexts.org/Bookshelves/Civil_Engineering/Book%3A_All_Things_Flow_-_Fluid_Mechanics_for_the_Natural_Sciences_(Smyth)/13%3A_Appendix_B-_Torque_and_the_Moment_of_Inertia/13.02%3A_B.2-_The_moment_of_inertia_tensorFor the simple case shown in Figure 13.1.1, \(\underset{\sim}{I}\) is proportional to the identity matrix \(\underset{\sim}{\delta}\), \(\vec{\alpha}\) is parallel to the axis of rotation (the bolt), ...For the simple case shown in Figure 13.1.1, \(\underset{\sim}{I}\) is proportional to the identity matrix \(\underset{\sim}{\delta}\), \(\vec{\alpha}\) is parallel to the axis of rotation (the bolt), and its magnitude \(|\vec{\alpha}|\) is \(d^2\theta/dt^2\). 1 In the case shown here, \(\vec{F}\) is really the sum of the force exerted by the person and the opposing force exerted by friction, and similarly for \(\vec{T}\).
