- #1
PJani
- 7
- 0
Hey i am working on something and i need to know how to calculate moment of inertia of a 3D system of objects.
I know these variables:
Mass of whole system
Center of mass of whole system
Center of mass of each object
Offset of each object
Mass of each object
Moment of Inertia of each individual object(its precalculated)
I think i need to use parallel axis theorem but i am not sure how to actually calculate the "sum".
Is this right:
[itex]\vec{I_i}= \vec{I_{com_i}} + mass_i * (\vec{com_{system}}-\vec{offset_i} + \vec{com_i})^2[/itex]
[itex]\vec{I_{system}} = \sum^{N}_{i=1}{\vec{I_i}} [/itex]
?
I know these variables:
Mass of whole system
Center of mass of whole system
Center of mass of each object
Offset of each object
Mass of each object
Moment of Inertia of each individual object(its precalculated)
I think i need to use parallel axis theorem but i am not sure how to actually calculate the "sum".
Is this right:
[itex]\vec{I_i}= \vec{I_{com_i}} + mass_i * (\vec{com_{system}}-\vec{offset_i} + \vec{com_i})^2[/itex]
[itex]\vec{I_{system}} = \sum^{N}_{i=1}{\vec{I_i}} [/itex]
?
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