Engineering Mechanics - DynamicsChapter 18Problem 18-1At a given instant the body of mass m has an angularvelocity ωand its mass center has a velocity vG. Showthat its kinetic energy can be represented as T= 1/2IIC2, where IICis the moment of inertia of the bodycomputed about the instantaneous axis of zero velocity,located a distance rGICfrom the mass center as shown.Solution:T12⎛⎝⎞⎠mvG212⎛⎝⎞⎠IG()2+=where vG= rGICT12⎛⎝⎞⎠mrGIC212IG2+=T12⎛⎝⎞⎠mrGIC2IG+2=However m(rGIC)2 + IG = IICT12⎛⎝⎞⎠IIC2=Problem 18-2The wheel is made from a thin ring of mass mringand two slender rods each of mass
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