Engineering Dynamics · Planar rigid-body kinetics
A yo-yo may be modeled as a uniform disk of mass 0.35 kg and radius 35 mm
Problem
A yo-yo may be modeled as a uniform disk of mass 0.35 kg and radius 35 mm. A light cord is wrapped around a hub of radius 8 mm and is held fixed at its free end. The yo-yo is released from rest and rolls as the cord unwinds without slipping. After the mass center has descended 0.80 m, determine the speed of the mass center and the angular velocity of the yo-yo.
Hint
The free end of the cord is fixed, so the kinematic rolling condition is \(v_G = r_\mathrm{hub}\omega\), not \(R\omega\).
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