What does it mean for a particle to be free?

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Homework Help Overview

The discussion revolves around the concept of a "free" particle in physics, specifically examining the motion of two particles defined by their position vectors in an inertial reference frame. The original poster questions whether particle #1 is free along the y-direction based on its position function.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the definition of a free particle, questioning whether acceleration in the y-direction indicates that the particle is not free. There is a focus on the relationship between position, acceleration, and the concept of being "unaffected by forces."

Discussion Status

The discussion is ongoing, with participants examining the implications of the particle's position and acceleration. Some guidance has been offered regarding the need to assess acceleration to determine if the particle is free, but no consensus has been reached.

Contextual Notes

Participants are considering the definitions and implications of being "free" in the context of forces and motion, with specific attention to the y-direction. There is uncertainty regarding the original poster's understanding of the term "free."

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Homework Statement


From an inertial reference frame S, the vector position of a particle of mass
m1 = 1kg is given by r1(t)=(tx-hat - t^2y-hat)m.
The vector position of a particle m2=2m1 is given by r2=(t)=(tx-hat +t^3y-hat)m

Is particle #1 free along the y-direction? Explain



Homework Equations


If the particle is free along the y-direction then the y's would equal to 0.




The Attempt at a Solution



r1= -t^2y
r2=+t^3y
=not free?
(I am actually unsure if my definition of free is true)
 
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"Free" means "unaffected by forces", or equivalently that the potential is constant. In this case, it means you have to check if it's accelerating in the y-direction or not.
 
Particle #1's motion along the y-direction is -t^2.
Would this mean that it is not free?
 
That's its position at time t. What's its acceleration at time t?
 

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