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What is rigid motion?

Updated: 12/15/2022
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Q: What is rigid motion?
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What is rigid motion in geometry?

Movement of a shape can involve flexing - for example, a square frame being flexed into a rhombus. Rigid motion excludes such motion: the shape of the moving object does not change.


Is not a rigid motion transformation?

dilation (APEX)


Does not describe a rigid motion transformation?

Stretch


What doesn't describe a rigid motion transformation?

A rigid motion transformation is one that preserves distances and angles between points in a geometric shape. Anything that involves changing the size or shape of the object, such as scaling or shearing, would not describe a rigid motion transformation.


Difference between rigid body and particle?

The key difference between a particle and a rigid body is that a particle can undergo only translational motion whereas a rigid body can undergo both translational and rotational motion


What transformation preserves the shape and size?

Rigid motion


What are examples of rigid bodies that exhibit translational motion rotational motion and combination of both?

Planets


What has the author Edward Washington Suppiger written?

Edward Washington Suppiger has written: 'An analysis of the motion of a rigid body' -- subject(s): Dynamics, Rigid, Rigid Dynamics


What is the relationship between a translation and a rigid motion?

A translation is a type of rigid motion, which means it preserves distances and angles between points. In a translation, every point in a figure moves the same distance and direction. Rigid motions also include rotations and reflections.


What are not rigid motion transformations?

Dilation, shear, and rotation are not rigid motion transformations. Dilation involves changing the size of an object, shear involves stretching or skewing it, and rotation involves rotating it around a fixed point. Unlike rigid motions, these transformations may alter the shape or orientation of an object.


What is a rigid link?

A rigid link is a structural component that connects two parts of a mechanism or machine in such a way that the relative position between the two parts remains fixed. It does not allow for any movement or flexibility between the connected parts. Rigid links are commonly used in engineering and design to provide stability and precise motion control.


If a moving a clocks minute hand a rigid motion?

Yes, moving a clock's minute hand is a rigid motion because the shape and size of the hand do not change during the movement. The hand rotates around a fixed point (the clock center) without any distortion.