L19-Rigid Body Relative Velocity_1

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

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Lesson 19 Rigid Body Kinematics Relative Velocity

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Admin HW due on Monday No Team HW
Lesson Objectives Apply the parallel axis theorem to calculate the mass moment of inertia about any given axis Apply the relative velocity equation to solve rigid body kinematics problems Determine if you need to apply the relative velocity equation to solve a rigid body relative acceleration

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the largest value you can have for the I the smallest value you can have for the I zero not enough information to tell The mass moment of inertia of any body about its center of mass is always
Radius of Gyration m I k = m k I 2 =

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2 md I I + = Parallel Axis Theorem
Given: W disk = 15 lb, W rod = 10 lb Find: Mass moment of inertia about O

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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.
Kinematics Moments Work Kinetic Energy Momentum G M α G I = dt Impulse s d I s d I dt 2 1 t t G dt M 1 2 ϖ G G I I - 2 1 - U = =

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

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