FYKOS Year 37 Series 2 Problem 1 — workout · FYKOS 37 #37.2.1

Physics · mechanics

Problem

When working out, we often come across workout machines that contain pulleys. Consider the machine in the following figure. What force must be applied on the rope if the velocity of the end of the rope at point A is

v = 0.4\,\mathrm{m\cdot s^{-1}}

and its direction is downwards? Each pulley has a radius

r = 15\,\mathrm{cm}

and mass

m = 15\,\mathrm{kg}

. A weight of mass

M = 25\,\mathrm{kg}

hangs over the free pulley. Scheme of the workout machine.

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