FYKOS Year 26 Series 2 Problem 3 — life in Venice · FYKOS 26 #26.2.3

Physics · mechanics

Problem

Two chubby residents of Venice Paolo and Francesca Muschetti (with masses

m_{P}=180\;\mathrm{kg}

and

m_{F}=130\;\mathrm{kg})

decided to go for a gondola ride. However, none of the gondoliers would allow them to enter the boat because it would sink. Fortunately, they managed to find one gondolier who designed the device shown on the picture. Both Paolo and Francesca were tied to the ends of the rope in such a way that at first Francesca was at the top but then she switched with Paolo. How tall should this device be in order for the boat to traverse the canal? The travel time is

τ=60\;\mathrm{s}

. Assume that if this device is used, the gondola does not sink. You can neglect any friction, the mass of the rope and the moments of inertia of all the pulleys.

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