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Questions tagged [inertia-matrix]

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0 votes
0 answers
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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 ...
alpha's user avatar
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-1 votes
2 answers
106 views

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 ...
Jawel7's user avatar
  • 125
0 votes
0 answers
33 views

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 ...
ayr's user avatar
  • 226
0 votes
1 answer
331 views

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{\...
hcl734's user avatar
  • 133
0 votes
1 answer
621 views

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) ...
Yaniv Ben David's user avatar
0 votes
2 answers
3k views

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's user avatar
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3 votes
2 answers
4k views

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 ...
Hrvi's user avatar
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