What Does the XY Plane Look Like in 3D Rotation Scenarios?

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The discussion clarifies that the xy-plane is a 2D coordinate plane defined by the x- and y-axes, where all points have a z-coordinate of zero. Participants are trying to visualize how the xy-plane appears during 3D rotation, particularly when a body rotates around the z-axis. The original text from the book emphasizes that any mass within the body can only move in a plane parallel to the xy-plane. There is a request for confirmation on the accuracy of a provided illustration related to this concept. Understanding the xy-plane is crucial for grasping the dynamics of rotational motion in three-dimensional space.
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Look at picture for more details...

Book says...
" A body is free to rotate only about the z-axis. Within the body any particle of
mass m can move only in a plane parallel to the xy plane."

What would the xy plane look like? I am assuming by "xy plane" this does not mean x and y axis...?

I added a picture of what I think they are talking about... is this correct??
 

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Miike012 said:
Look at picture for more details...

Book says...
" A body is free to rotate only about the z-axis. Within the body any particle of
mass m can move only in a plane parallel to the xy plane."

What would the xy plane look like? I am assuming by "xy plane" this does not mean x and y axis...?

I added a picture of what I think they are talking about... is this correct??

The xy-plane is the 2D coordinate plane formed by the x- and y-axes. In other words, it is the set of all points for which z = 0.
 
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