Infinite Atwood Machine Harvard Physics Problem (0 for 5)

I try to solve another difficult harvard physics problem, and this one is about the infinite atwood machine pulley system. This problem deals with an infinite series, and I got that completely wrong in this problem. I don’t know why I thought it was so simple. I should return my mechanical engineering degree after this video because god damn I can’t solve any of these harvard physics problems.

Problem Statement:
https://www.physics.harvard.edu/uploads/files/undergrad/probweek/prob43.pdf

Problem Solution:
https://www.physics.harvard.edu/uploads/files/undergrad/probweek/sol43.pdf

Questions?

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