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Questions tagged [inertia-matrix]

7 questions
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Second Moment of Inertia (or Second Moment of Area) of Beam Section

I need to calculate the moment of Inertia Iyz but I find 0 information online about how to get it or solve it in a real problem, only that is equal to $$\bar{I}_{yz}=\int yz\text{ d}A$$ How can I solve this in the case of an antisymmetric beam…
Hrvi
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Can a kugel fountain be made without acceleration from the fluid?

I am looking for an application where a thin spherical shell is suspended in a kugel fountain where the liquid is replaced with gas. is it possible to make the gas flow so that it doesn't brake or accelerate the sphere independent of the rotation of…
David Jonsson
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Tensor of inertia of a curved beam

I need help calculating the inertia tensor for a curved beam. I found the formulas for this in the article https://hal.archives-ouvertes.fr/hal-01084693/document[page 20, Appendix A] and decided to check their correctness. And found the…
ayr
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Mass inertia tensor for rod non-symmetric regarding coordinate system origin

I want to express the inertia tensor of a rotating rod (total length $L_1$) to use it in Lagrange mechanics for expressing the kinetic energy associated to the rotation with angular velocity $\dot{\theta}_1$. I know the moment of inertia regarding…
hcl734
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Inertia relief in ANSYS - rotating model

I'm trying to use ANSYS to solve statically a dynamic problem. As shown in the image below, there is an orange bar that is constraint to slide horizontally only and attached to another bar (pink) through a pin joint. When the orange bar is subjected…
Yaniv Ben David
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How would I find the Second Moment of Area of a Parallelogram?

How would I find the second moment of area of a parallelogram, as shown?
Mark
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What happens if we have a rotating shaft with high RPM but very little torque?

If there are heavy components mounted on it, what will happen? I think it accelerates very slowly, but reaches at the highest RPM at the end because torque is equal to angular acceleration * moment inertia. Am I correct?
Jawel7
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