The Elementary Part of a Treatise On the Dynamics of a System of Rigid Bodies
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In this case the angular momentum about every straight line through the fixed point is unchanged. Choosing some three convenient axes through the point and equating the angular momentum about each before the change to that after the change we have three dynamical equations. Besides these we have the geometrical equations, supplied by Art. 238, expressing the fact that the resolved velocities of P are equal to the given forced velocities. In this way we may form six equations to find the six com...ponents of motion.
296. Let us consider an example of this process. Suppose the motion of the body to be given by the components u, v, w, (D X, w y, o) 2, the centre of gravity being the base; and let the point P whose coordinates are /, g, h be suddenly fixed. Let A, B, C, D, E, F be the moments and products of inertia of the body about the axes at the centre of gravity, and let accented letters represent the corresponding quantities for parallel axes at P. Let l x, l yj fig be the required angular velocities of the body about the axes meeting at P parallel to those at the centre of gravity.
What to read after The Elementary Part of a Treatise On the Dynamics of a System of Rigid Bodies?
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To quickly assess the difficulty of the text, read a short excerpt:
In this case the angular momentum about every straight line through the fixed point is unchanged. Choosing some three convenient axes through the point and equating the angular momentum about each before the change to that after the change we have three dynamical equations. Besides these we have the geometrical equations, supplied by Art. 238, expressing the fact that the resolved velocities of P are equal to the given forced velocities. In this way we may form six equations to find the six com...ponents of motion.
296. Let us consider an example of this process. Suppose the motion of the body to be given by the components u, v, w, (D X, w y, o) 2, the centre of gravity being the base; and let the point P whose coordinates are /, g, h be suddenly fixed. Let A, B, C, D, E, F be the moments and products of inertia of the body about the axes at the centre of gravity, and let accented letters represent the corresponding quantities for parallel axes at P. Let l x, l yj fig be the required angular velocities of the body about the axes meeting at P parallel to those at the centre of gravity.
What to read after The Elementary Part of a Treatise On the Dynamics of a System of Rigid Bodies?
You can find similar books in the "Read Also" column, or choose other free books by Edward John Routh to read onlineMoreLess
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