Questions tagged [inertia-matrix]
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Period of oscilation of thin plate in the form of circular section
A thin plate of mass m in the form of a circular section of radius R and angle alpha is hanged to oscillate back and fort from a horizontal support. Find its period of oscillation.
I am confused how ...
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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 ...
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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 ...
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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{\...
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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) ...
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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?
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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 ...