infinite pulleys

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(by Michael A. Gottlieb)

An infinite series of pulleys and masses is arranged as shown, with m0 = 1/(1–t), and mi = t(i–1) for i > 0, with 0 < t < 1. At the moment the pulleys are released from rest, what is the acceleration of mass m0?

Answer


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Sukumar Chandra (pdf, 85K)

 

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