Elevator + Counterweight problem

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SUMMARY

The discussion centers on solving the Elevator + Counterweight problem, where a student seeks verification of their solution. The consensus is that while the student's solution is correct, it is more efficient to approach the problem symbolically first and substitute numerical values at the end. This method simplifies calculations by allowing the radius of the rotor to cancel out, streamlining the problem-solving process.

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  • Understanding of symbolic mathematics
  • Familiarity with physics concepts related to elevators and counterweights
  • Basic knowledge of algebraic manipulation
  • Experience with problem-solving techniques in physics
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  • Explore the principles of mechanical advantage in elevator systems
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Homework Statement


The problem is as posted in this picture[/B]

Hey guys/girls, my teacher gave us this problem which I am not sure if I have correct. Could someone please verify if my solution is correct.
6qw8kl.jpg

Homework Equations



As in my attempt

The Attempt at a Solution


My attempt is scanned -
swpnaf.jpg
 
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Welcome to PF!

Your solution is correct, but you save time both for yourself and for the helpers if you do the solution symbolically, and plug in the data at the end. You would see that the radius of the rotor cancels.
 
ehild said:
Welcome to PF!

Your solution is correct, but you save time both for yourself and for the helpers if you do the solution symbolically, and plug in the data at the end. You would see that the radius of the rotor cancels.
Thanks!
Ok, I will do it symbolically next time
 

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