Keeping terms to first order in  latex8 , show that Euler's equations of motion reduce to (approximately):  latex9  Hence show that:  latex10  where  latex11  is given by:  latex12  Using what you know about the nature of solutions to equations in part (b), for different signs of  latex11  deduce that the motion is *stable* (i.e   latex8  do not grow exponentially) if either  latex15 , and is *unstable* (i.e   latex8  do grow exponentially) if  latex17  lies between the other two principal moments, e.g   latex18 .