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" Iyl will be a minimum, and the reverse ; hence there is always a pair of rectangular axes in reference to one of which the moment of inertia is greater than for any other axis, and for the other it is less. These are called principal axes. Thus, in the... "
The Elements of Analytical Mechanics - Σελίδα 170
των De Volson Wood - 1882 - 249 σελίδες
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The Elements of Mechanics, Comprehending Statics and Dynamics: With a ...

John Radford Young - 1832 - 326 σελίδες
...£(7*1/i) < A', for every value of /3 and y, so that then the principal axis in question will be that for which the moment of inertia is greater than for any other axis through the same origin. A' may, however, be neither the greatest nor the least of the three moments...

A Treatise on the Resistance of Materials: And an Appendix on the ...

De Volson Wood - 1875 - 313 σελίδες
...a maximum, that Iy i will be a minimum, and the reverse; hence there is always a pair ofrecanpular axes in reference to one of which the moment of inertia...other it is less. These are called principal axes. v Thus, in case of a rectangle, if the axes are parallel to the sides and pass through the centre,...

The Elements of Analytic Mechanics: Solids & Fluids

De Volson Wood - 1876 - 472 σελίδες
...Jx — lv cos* a — siu4 a It may he shown by the ord inary tests that when 7Z! is a maximum, Ivi will be a minimum, and the reverse ; hence there is...which the moment of inertia is greater than for any oiher oavig, and for the other it is less. These are called principal axes. Thus, in the case of a...

Mechanics: A Textbook for Engineers

James Ellsworth Boyd - 1921 - 417 σελίδες
...30'. 162. Maximum Moment of Inertia. — To find the direction of the axis through any given point for which the moment of inertia is greater than for any other axis through that point, the mathematical conditions for maximum and minimum are applied to Equation (6)...




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