Describing translation and rotation

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What will be the path of a rod (of some mass and moment of inertia) in space if a rocket is attached at one end (at some angle)?
 
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kneeslider said:
What will be the path of a rod (of some mass and moment of inertia) in space if a rocket is attached at one end (at some angle)?

The rocket thrust creates both: angular & linear acceleration

- Write down the angular acceleration function
- Integrate it twice in respect to time to get rocket orientation function (intitial angular velocity & orientation are the intergration constants)

- Write down linear acceleration function (which contains the rocket orientation function from above)
- Integrate it twice in respect to time to get the rocket position function (intitial velocity & position are the intergration constants)