What are the criteria to decide which equations will give the motion of a gyro-compass?

  • #1
curiousPep
12
1
Hello,
I know it might sound silly but sometimes I get confused.
Let's say I have a gyro-compass and I get 3 equations of torque for the 3 axes.
I am expected to find the equation of motion and two of them are equated with 0.
1636988925006.png

These are the Euler's dynamics equation with moving reference frame (gyroscope equation)
I get that both Q2 and Q3 are equal to 0 and Q1 not equal to 0.
Hence, it is easier to use the equation of Q2 and Q3, but by inspection, these two don't give the same equation.
So what are the criteria to decide which one will give the equation of motion of the gyro-compass?
 

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