First of all, can you show me the way to resolve this roll angular velocity into 2 components above: axial component and radial component
Second of all, the flywheel is spinning with angular velocity w, indeed. But I think this missing term should be (1/2)*Ip*(w^2), which is the rotational...
Yes and thank you for your reply. Then expression (4) seems like the rotational kinetic energy of the flywheel about gimbal axis which relates to the derivative of φ. But I'm still stuck at finding the meaning of expressions (5) and (6). Any ideas?
I've been working on this problem for a while and here comes the problem: I'm building a balancing system for a bicycle using Gyroscopic effect (take a look at Figure 2 for more details). My system consists of 2 parts:
the bicycle itself
a flywheel on top of it
All parameters are given. The...