Analyzing Frictionless Motion: Va vs Vb

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SUMMARY

The discussion centers on analyzing the velocities Va and Vb in a frictionless pulley system involving two masses, m1 and m2, where m1 is on a table and m2 is hanging. The consensus is that Vb, the velocity of the hanging mass, is greater than Va, the velocity of the mass on the table, due to the constant acceleration provided by gravity. The frictionless condition allows for a straightforward application of Newton's laws, confirming that the velocity of the hanging mass increases as it descends.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with pulley systems and their mechanics
  • Knowledge of conservation of energy principles
  • Basic concepts of acceleration and velocity in physics
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This discussion is beneficial for physics students, educators teaching mechanics, and anyone interested in understanding the dynamics of pulley systems and frictionless motion.

kuuooomar
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Homework Statement


va=va vb=vb m1>m2
frictionless

Homework Equations





The Attempt at a Solution


So i got this question where m1 is on a table and connected to a pully and m2 is hanging off the table, which have a Va (velocity). Then a few seconds later the pully is drawing in and the distance from m1 and the pully decreases, basically the pully is going down. This was considered Vb(velocity). The instructor asked us which had more velocity or did it stay the same, my intution is telling me that the velocity increased but through energy of conservation I feel like it stayed constant and went to the hanging mass. I have no idea, I already took the quiz and just want some reassurance on whether i was right or wrong >_<
 
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I'd like to help, but I just don't understand the question as written. Actually a diagram is pretty much necessary to sort out pulley problems.
 
I agree a diagram would be helpful... From my understanding of the problem is that you have two masses connected via a pulley, one of the masses is on a table (assuming the table is not angled...) and the other mass is hanging freely.

It sounds to me like you are asking if V(t) is increasing so assuming that is actually the problem then Vb is greater than Va since the table is frictionless and you have a constant acceleration due to gravity.
 

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