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Rigid Bodies Rigid Body = Extended body that moves as a unit Internal forces maintain body shape Mass Shape (Internal forces keep constant) Volume Center of Mass Position Center of Mass Velocity Properties:

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Mass and Density Extended Body System of Particles

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Other Quantities Center of mass Momentum Angular Momentum

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Types of Motion Movement of the Center of Mass – Chapter 4 Rotation around a Fixed Axis – Chapter 5 Tumbling – Movement of Axis of Rotation – Chapter 10

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Rotation around a Fixed Axis q cm Rotation Axis qiqi bibi q cm qiqi bibi b i fixed

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Equation of Motion or angle to any other fixed position

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Calculating Moments of Inertia a R R b Moments of Inertia through the Center of Mass

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Parallel Axis Theorem 0 M I cm R cm

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Rectilinear Motion and Rotational Motion

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Torsion Pendulum

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