8 citations · 15 across the 4 of their papers we have counts for
4 papers
Dynamics beyond dynamic jam; unfolding the Painlevé paradox singularity
Arne Nordmark, Peter Varkonyi, Alan Champneys
This paper analyses in detail the dynamics in a neighbourhood of a Génot-Brogliato point, colloquially termed the G-spot, which physically represents so-called dynamic jam in rigid…
The comfortable roller coaster -- on the shape of tracks with constant normal force
Arne B. Nordmark, Hanno Essen
A particle that moves along a smooth track in a vertical plane is influenced by two forces: gravity and normal force. The force experienced by roller coaster riders is the normal f…
New theorem of classical electromagnetism: equilibrium magnetic field and current density are zero inside ideal conductors
Miguel C. N. Fiolhais, Hanno Essen, C. Providencia +1
We prove a theorem on the magnetic energy minimum in a system of perfect, or ideal, conductors. It is analogous to Thomson's theorem on the equilibrium electric field and charge di…
Static deformation of heavy spring due to gravity and centrifugal force
Hanno Essen, Arne Nordmark
The static equilibrium deformation of a heavy spring due to its own weight is calculated for two cases. First for a spring hanging in a constant gravitational field, then for a spr…