#### Itsallmathintheend

##### New member

- Joined
- Sep 9, 2019

- Messages
- 2

I have a question about expressing x and y rotations one coord system, expressed in another coord system that is rotated about the z-axis:

A first right-handed coordinate system is rotated rx1 about its x1 axis and ry1 about its y1 axis.

A second right-handed coordinate system is rotated about the z1 axis by rz1 (relative to the first system).

The second system, in its turn, is rotated around its own axes, by rx2 and ry2.

What are rx2 and ry2 in the second system, expressed in rx1 and ry1 relative to the first system?

For example: a table can be tipped left/right and forwards/backwards. These tipping angles are known. Flat(!) on this table sits a toy car at certain, known angle relative to the table. At what angles is the toy car tipped/rotated expressed in angles relative to the table?

Thanks for your help and time.

A.