Infinite Atwood System

Classical Mechanics Level 3

Consider a system of infinite pulleys as shown in the figure. Find the acceleration (in \(m/s^2\)) of the top mass.

Details and Assumptions:
\(\bullet\) Initially the masses are held stationary, and then released simultaneously.
\(\bullet\) The masses of the pulleys and the strings are negligible.
\(\bullet\) \(\displaystyle g=9.8m/s^2\)


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