We're on a roll - truncated cone · Physics Brawl 2015 #FoL.3

Physics · mechanics

Problem

A truncated cone is rolling on a table in such way, that a point on the perimeter of its smaller base moves at a speed v1=1.5m⋅s−1v_1 = 1.5\text{m}\cdot\text{s}^{-1} with respect to the base's center and a point on the perimeter of its greater base moves at a speed v2=1m⋅s−1v_2 = 1\text{m}\cdot\text{s}^{-1} (again, with respect to the base's center). The slant height is l=0.1ml = 0.1\text{m}. How long will it take the cone to return to the point from which it started rolling?

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