Velocity of masses on an atwood machine?

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SUMMARY

The discussion centers on the dynamics of an Atwood machine configuration where one mass (m1) is on a surface experiencing kinetic friction (μk), while the other mass (m2) hangs off the edge. The participants clarify that although the masses move with the same speed, their velocities differ due to their directional movement. The key equations referenced include the conservation of energy principle (KEo + PEo = KEf + PEf) to analyze the system's acceleration and velocity relationships.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with the concepts of kinetic friction and its coefficient (μk)
  • Knowledge of vector vs. scalar quantities in physics
  • Basic principles of energy conservation in mechanical systems
NEXT STEPS
  • Study the dynamics of Atwood machines with frictional forces
  • Learn about the application of Newton's second law in multi-mass systems
  • Explore the relationship between speed and velocity in physics
  • Investigate the effects of different coefficients of friction on system acceleration
USEFUL FOR

Students studying physics, particularly those focusing on mechanics, as well as educators seeking to clarify concepts related to Atwood machines and frictional forces.

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Homework Statement


2 masses m1 and m2 are attached by a string to a massless pulley. mass 1 is on the surface while mass 2 is hanging off. mass 1 experiences a friction force (mu)k. What is the acceleration of the system? What is the velocity of mass 1 in terms of mass 2?

Homework Equations


KEo+PEo = KEf+PEf

The Attempt at a Solution

 
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Don't these masses move at the same velocity?
 
This doesn't sound like an Atwood machine, where both masses should be hanging by the string with no surface involved.
Vitani11 said:
2 masses m1 and m2 are attached by a string to a massless pulley. mass 1 is on the surface while mass 2 is hanging off. mass 1 experiences a friction force (mu)k.
(mu)k is a force? Isn't μk, the coefficient of kinetic friction?
What is the acceleration of the system? What is the velocity of mass 1 in terms of mass 2?
Do you mean what is the velocity of mass 1 in terms of the velocity of mass 2?

Vitani11 said:
Don't these masses move at the same velocity?
Well, if the string remains taught then they'll certainly have the same speed. Technically their velocities would be different since they are moving in different directions (velocity is a vector while speed is a scalar).
 
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I mean a system where one mass is on a horizontal surface with friction and the other is hanging off the edge connected by a string over a pulley. For some reason I was thinking atwoods machine. But yes that is what I mean
 
Vitani11 said:
I mean a system where one mass is on a horizontal surface with friction and the other is hanging off the edge connected by a string over a pulley. For some reason I was thinking atwoods machine. But yes that is what I mean
Okay, that's clear now. So you now know that both masses will move with the same speed. Was that your question?
 
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Yes, thanks
 

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