Existence of the instantaneous center

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    Center Existence
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The discussion revolves around the concept of the instantaneous center of a rigid body, specifically in the context of motion and velocity, with a focus on seeking a proof regarding its existence and its relation to acceleration.

Discussion Character

  • Exploratory, Conceptual clarification

Approaches and Questions Raised

  • Participants are exploring the definition and implications of the instantaneous center, questioning its existence specifically for velocity as opposed to acceleration. There is an inquiry about the nature of the instantaneous center in relation to rigid body motion.

Discussion Status

The discussion is in an exploratory phase, with participants seeking clarification on the concept and its applications. Some guidance has been offered through a link to external resources, but there is no consensus on the proof or its implications yet.

Contextual Notes

Participants are discussing the instantaneous center in the context of rigid body motion, with some ambiguity regarding the specific type of motion being referenced, such as whether it pertains to general rigid body motion or specifically to rotating rigid bodies.

physicsone
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I would like to find a proof for the existence of the instantaneous center, and show that it only exists for velocity and not acceleartion. Anyone know where I could find this proof.
 
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Have a look at this -

http://em-ntserver.unl.edu/Negahban/em373/note16/note.htm
 
Last edited by a moderator:
Instantaneous center of what?
 
instantaneous center of a rigid body
 
a rotating rigid body, surely ?
 

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