593_Dynamics 11ed Manual

593_Dynamics 11ed Manual - Engineering Mechanics - Dynamics...

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Engineering Mechanics - Dynamics Chapter 18 Problem 18-1 At a given instant the body of mass m has an angular velocity ω and its mass center has a velocity v G . Show that its kinetic energy can be represented as T = 1/2 I IC 2 , where I IC is the moment of inertia of the body computed about the instantaneous axis of zero velocity, located a distance r GIC from the mass center as shown. Solution: T 1 2 mv G 2 1 2 I G () 2 + = where v G = r GIC T 1 2 m r GIC 2 1 2 I G 2 + = T 1 2 mr GIC 2 I G + 2 = However m ( r GIC ) 2 + I G = I IC T 1 2 I IC 2 = Problem 18-2 The wheel is made from a thin ring of mass m ring and two slender rods each of mass
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