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Specific problems

Granular Maxwell's demon

Rocking block on table

Analysis "The behavior of inverted pendulum structures during earthquakes" Housner 1963 (pdf)

Experimental data "On the dynamics of rocking motion of single rigid-block structures" Peña et al. 2007 (pdf)

Bouncing spheres experiments

Listening to the coefficient of restitution Bernstein 1977

Further measurements of the bouncing of small latex spheres Dahneke 1975

Papers that have examples to look at

Reflections on simultaneous impact (pdf) (movie) Smith, Kaufman, et al. 2012

Impulse-based simulation of rigid bodies Mirtich, Canny, 1995.

Reference books

Impact (Dover Civil and Mechanical Engineering) Goldsmith 2001. I believe that this has a bunch of reference data for restitution experiments.