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Euler's 2nd Law, the rotational dynamics equation, in the body-fixed frame, and as a set of 3 first-order ODEs for the components of angular velocity.
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Newton-Euler Equations for a Rigid Body - Center of Mass & Inertia Tensor Calculation Worked Example
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- 1 Rigid bodies made of a continuous mass distribution are considered. We write the formulas for the total mass and center of mass.
- 2 flat triangular plate of uniform density and use integrals do determine the center of mass. We discuss the idea of decomposing our a complicated rigid body into simpler rigid bodies for purposes of …
- 3 Composite shapes: complicated rigid body approximated by simpler ones to estimate center of mass and moment of inertia
- 4 The Newton-Euler approach to rigid body dynamics is introduced, including Euler's 1st Law for translational motion (a.k.a., the "superparticle theorem") and Euler's 2nd Law for rotational motion (a.…
- 5 Parallels between the kinematic and dynamic equations of the translational and rotational motion of a rigid body.
- 6 The mass moments of a rigid body are summarized:
- 7 Euler's 2nd Law, the rotational dynamics equation, in the body-fixed frame, and as a set of 3 first-order ODEs for the components of angular velocity.
