Basic dynamic quantities

  • A. I. Lurie
Part of the Foundations of Engineering Mechanics book series (FOUNDATIONS)


The kinetic energy of a system of particles is equal to half the sum of the masses multiplied by the velocities squared
$$ T = \frac{1} {2}\sum\limits_{i = 1}^N {m_i v_i ^2 } = \frac{1} {2}\sum\limits_{i = 1}^N {m_i v_i \cdot v_i .}$$
We obtain an expression for the kinetic energy by replacing the generalised velocities v i with the expression given in eq. (1.3.3), i.e.


Kinetic Energy Angular Velocity Rigid Body Rear Axle Inertia Tensor 
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© Springer-Verlag Berlin Heidelberg 2002

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  • A. I. Lurie

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