(adsbygoogle = window.adsbygoogle || []).push({}); Rigid body -badly worded problem :( -

1. The problem statement, all variables and given/known data

Consider a symmetric trompo in a uniform gravitational field, with its inferior point fixed.

a)Write down the Lagrangian. Determine the conserved quantities and from them study the motion of the body.

b)Determine the stability condition for the rotation of the trompo around a vertical axis.

c)Determine the motion of the trompo in the case in which the kinetic energy of rotation around its axis of symmetry is big compared to its energy in the gravitational field (fast trompo).

2. Relevant equations

L=T-V. Euler's angle, tensor of inertia, etc.

3. The attempt at a solution

I don't understand the situation for part a). I think I should model the trompo as a cone whose vertex is the "inferior" point. Now I do not know if it's rotating (I'd assume that no but then they ask me to study its motion... making me think it should rotate) and if it rotates, around a vertical axis? Does this vertical axis of rotation correspon to the axis of symmetry of the trompo? If the axis of symmetry of the trompo does not match a vertical axis, is the trompo spinning on itlsef and rotating around a vertical axis? How is the motion? I really don't get it.

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# Rigid body -badly worded problem -

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