Solve Atwood's Machine w/Initial Velocity: Change Accel.?

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SUMMARY

The discussion centers on the impact of initial velocity on the acceleration in Atwood's Machine experiments. The participant references the equation for acceleration, a = 2d/t², and acknowledges that with an initial velocity, the appropriate equation becomes d = v₀t + 1/2at². It is established that introducing initial velocity alters the acceleration, displacement, and time calculations, necessitating a different approach to analyzing the system's dynamics.

PREREQUISITES
  • Understanding of Newtonian mechanics
  • Familiarity with kinematic equations
  • Knowledge of Atwood's Machine setup
  • Basic algebra skills for manipulating equations
NEXT STEPS
  • Study the kinematic equations in detail, focusing on initial velocity effects
  • Explore the dynamics of Atwood's Machine with varying initial conditions
  • Learn about graphing displacement vs. time for different initial velocities
  • Investigate how initial velocity influences energy conservation in mechanical systems
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Students preparing for physics exams, educators teaching mechanics, and anyone interested in the dynamics of Atwood's Machine and kinematic equations.

pinky2468
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Ok , I have a test tomorrow and I can't seem to answer this question:
In doing a lab using Atwood's Machine would the acceleration have been different if we used an initial velocity? What variable would be changed if we used intial velocity?(displacement, accelaration,time, etc...)

In doing the lab we used the equation a=2d/t(sqr) I know that with inital velocity the equation is d=volt+1/2at(sqr)

I think it does change the acceleration, but I am not sure.
Please if anyone can help me with this, I have researched and read and I can't seem to find an explanation!
 
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If there's initial velocity [different of 0], obviously the acceleration equation used in lab will be incorrect.
 
Does it change the displacement,time and acceleration or just time and acceleration?
 

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