When quasistatic jamming is impossible

We propose a new condition to test for the impossibility of jamming in three-dimensional, quasistatic multi-rigid-body systems. Our condition can be written as a feasibility problem for a system of linear inequalities and therefore can be checked using linear programming techniques. To demonstrate the use of our jamming test, we apply it to a simple dexterous manipulation task and to the well-known peg-in-hole insertion problem.