Holonomic Constraints - Holonomic System (physics) - Examples

Examples

As shown at right, a simple pendulum is a system composed of a weight and a string. The string is attached at the top end to a pivot and at the bottom end to a weight. Being inextensible, the string’s length is a constant. Therefore, this system is holonomic; it obeys the holonomic constraint

where is the position of the weight and is length of the string.

The particles of a rigid body obey the holonomic constraint

where, are respectively the positions of particles and, and is the distance between them.

Read more about this topic:  Holonomic Constraints, Holonomic System (physics)

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