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Rigid Body Motion Simulation | Rolling Without Slipping

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🇬🇧 English

RIGID BODY TRANSLATION

Rigid body translation is the type of motion in which all points of the body move in a plane that remains parallel to a fixed reference plane.

Rigid body translation illustration 1

Translation represents a combination of two simplest motions:

  • translation
  • rotation about an axis whose direction is fixed but whose position in space changes over time.

During rigid body motion, all its parts move in the same way and follow the same trajectories.

Rigid body translation illustration 2

Examples of Rigid Body Translation

Example 1 of rigid body translation
Example 2 of rigid body translation
We observe the positions of the cross-section S at times t0, t1, and t2 (noting the material line and its positions):
Cross-section positions over time
Rigid body translation consists of two fundamental motions: translation and rotation about an axis passing through a chosen point in the plane of the figure S perpendicular to that plane.
Translation and rotation components

Moving the representative cross-section from one position to another can be achieved

  • by one translation (of the section along with point C) and one rotation about point C by an angle φ
  • or
  • by a single rotation about the same axis of rotation.
Combined translation and rotation