I was wondering if a 1D point mass (a mass which can only move on a line, accelerated by an external time-varying force, see Wikipedia - Double integrator) is a holonomic or a nonholonomic system? Why?
I think that it is nonholonomic since it cannot move in any direction in its configuration space (which is 1D, just the $x$ axis). E.g. if the point mass is moving at $$x=10$$ with a velocity of 100 m/s in positive $x$-direction it cannot immediately go to $$x=9.9$$ due to its inertia. However, I have the feeling that my thoughts are wrong...
The background is the following:
I am trying to understand what holonomic and nonholonomic systems are. What I found so far:
- Holonomic system are systems for which all constraints are integrable into positional constraints.
- Nonholonomic systems are systems which have constraints that are nonintegrable into positional constraints.
- Holonomic system where a robot can move in any direction in the configuration space.
- Nonholonomic systems are systems where the velocities (magnitude and or direction) and other derivatives of the position are constraint.