L19-Rigid Body Relative Velocity_1 - Lesson 19 Rigid Body...

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Lesson 19Rigid Body KinematicsRelative Velocity
AdminHW due on MondayNo Team HW
Lesson ObjectivesApply the parallel axis theorem to calculate the mass moment of inertia about any given axisApply the relative velocity equation to solve rigid body kinematics problemsDetermine if you need to apply the relative velocity equation to solve a rigid body relative acceleration problem
The mass moment of inertia of any body about its center of mass is always
Radius of GyrationmIk=mkI2=
2mdII+=Parallel Axis Theorem
Given: Wdisk= 15 lb, Wrod= 10 lbFind:Mass moment of inertia about O
A rod with mass of 20 kg is rotating at 5 rad/s at the instant shown. A moment of 60 N·m is applied to the rod. Find the angular acceleration α and the reaction at pin O when the rod is in the horizontal position.
KinematicsMomentsWorkKinetic EnergyMomentumGMαGI=dtImpulsesdIsdIdt21ttGdtM12ϖϖGGII-21-U==

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