American Institute of Physics Handbook by American Institute of Physics, Dwight E. Gray PDF

By American Institute of Physics, Dwight E. Gray

ISBN-10: 007001485X

ISBN-13: 9780070014855

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2a-35) I •• = "Zm;x;y. etc. By proper choice of axes (called "principal" axes) the products of inertia can be made to vanish. If we write (2a-36) I •• = MR' R' _ "Zm;(Yi' + z;') (2a-37) where M and M is the total mass of the rigid body, R is termed the "radius of gyration" about the x axis. The fundamental equation of motion (Newton's second law) of the rigid body about a fixed origin is (2a-38) L=T where T is the total torque about the instantaneous axis through the fixed origin. If the fixed origin is chosen as the center of mass, the total motion is obtained by superposing the translational motion of the center of mass on the rotational motion about the center of mass.

The constant depends FIG. 2a-3. Base vectors in spherical co-· only on the choice of the second particle, ordinates. and by mutual consent the constant may arbitrarily be set equal to unity. The second particle then represents the standard unit of mass, and the mass of the first is thus determined by the above-mentioned ratio of accelerations. , the balance) in actual determinations. Implicit in this definition is the assumption of additivity of masses, thus enabling the mass of a finite body, as an aggregate of particles, to be determined uniquely.

Liquid Jets ..................................................... " Viscosity of Gases ................................................. Molecular Diffusion of Gases. . . . . . . . . . . . . . . . . . . Compressible Flow of Gases ........................................ Laminar and Turbulent Flow of Gases ............................... Shock Waves ..................................................... 2-1 2-2 2-19 2-38 2-42 2-49 2-83 2-90 2-92 2-103 2-119 2-133 2-148 2-187 2-202 2-213 2-221 2-230 2-232 2-249 2-253 2-260 2-273 2a.

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American Institute of Physics Handbook by American Institute of Physics, Dwight E. Gray


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