 Application to Compound Pendulum. — The application of this principle to the compound pendulum leads to some results of great interest and importance. Let M be the mass of a compound pendulum, that is, a rigid body free to oscillate about a fixed horizontal...  Elements of Analytical Mechanics - Page 176by William Holms Chambers Bartlett - 1853 - 445 pagesFull view - About this book
 | William Holms Chambers Bartlett - 1866 - 520 pages
...2 m yf = 0 ; whence, denoting by d the distance between the axes z and z\ and by M. the whole mass, That is, the moment of inertia of any body in reference...to a principal axis through the centre of inertia. § 168. — Denote by r the distance of the elementary mass m from the axis z, then will r* ~ x* +... | |
 | John Merry Ross - 1877 - 625 pages
...mass into the square of its distance for any point exceeds the corresponding quantity for the C. of I. by the product of the whole mass into the square of the distance of the point from the C. of I. The moment of inertia of a system about any axis is the sum of the products... | |
 | Augustin Privat-Deschanel - 1880 - 1176 pages
...round the given axis exceeds the moment of inertia round the parallel axis through the centre of mass by the product of the whole mass into the square of the distance between the axes. 116. Application to Compound Pendulum. — The application of this principle to the... | |
 | Augustin Privat-Deschanel - 1880 - 284 pages
...round the given axis exceeds the moment of inertia round the parallel axis through the centre of mass by the product of the whole mass into the square of the distance between the axes. 116. Application to Compound Pendulum.— The application of this principle to the... | |
 | William Steadman Aldis - 1882 - 156 pages
...of z is equal to the moment of inertia about a parallel axis through the centre of inertia added to the product of the whole mass into the square of the distance between the two axes. Similarly we find that 'S.mx* = a? . 2m + Sma;'4, = yz. 2m 33. If therefore the... | |
 | Augustin Privat-Deschanel - 1883 - 286 pages
...round the given axis exceeds the moment of inertia round the parallel axis through the centre of mass by the product of the whole mass into the square of the distancebetween the axes. (llfy Application to Compound Pendulum. — The application of this principle... | |
 | Augustin Privat-Deschanel - 1884 - 282 pages
...round the given axis exceeds the moment of inertia round the parallel axis through the centre of mass by the product of the whole mass into the square of the distance between the axes. 116. Application to Compound Pendulum. — The application of this principle to the... | |
 | John Greaves - 1888 - 302 pages
...particle by the square of its distance from the centre of mass of all the particles, togetl1er with the product of the whole mass into the square of the distance of the given point from the centre of mass. Let Av Av &ac., An be n particles of mass TO,, tn2...mn ; let G be their... | |
 | Alexander Ziwet - 1894 - 262 pages
...moment of inertia for the parallel centroidal line (plane) by adding to the latter the product Md2 of the whole mass into the square of the distance of the lines (planes). It will be noticed that of all parallel lines (planes) the centroidal line (plane)... | |
 | Leander Miller Hoskins - 1900 - 456 pages
...axis is equal to its moment of inertia with respect to a parallel axis through the center of mass plus the product of the whole mass into the square of the distance between the two axes. Let Fig. 162 represent a section of the body by a plane perpendicular to the... | |
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