68 citations · 112 across the 10 of their papers we have counts for
4 papers · 1 filter
The Not-so-simple Pendulum: Balancing a Pencil on its Point
Peter Lynch
Does quantum mechanics matter at everyday scales? We generally assume that its consequences are confined to microscopic scales. It would be very surprising if quantum effects were…
Quaternion Solution for the Rock'n'roller: Box Orbits, Loop Orbits and Recession
Peter Lynch, Miguel D Bustamante
We consider two types of trajectories found in a wide range of mechanical systems, viz. box orbits and loop orbits. We elucidate the dynamics of these orbits in the simple context…
Precession and Recession of the Rock'n'roller
Peter Lynch, Miguel D. Bustamante
We study the dynamics of a spherical rigid body that rocks and rolls on a plane under the effect of gravity. The distribution of mass is non-uniform and the centre of mass does not…
Pulsation and Precession of the Resonant Swinging Spring
Peter Lynch, Conor Houghton
When the frequencies of the elastic and pendular oscillations of an elastic pendulum or swinging spring are in the ratio two-to-one, there is a regular exchange of energy between t…