K — the radius of gyration of the section about an axis perpendicular to the plane of bending— and inversely as the square of the length. These results might have been anticipated by the argument from dimensions, if it were considered that the frequency... The Theory of Sound - Page 273by John William Strutt Baron Rayleigh - 1894Full view - About this book
| John William Strutt Baron Rayleigh - Sound - 1877 - 984 pages
...by y = Pu cos - m?t + e .................. (10). K 171. The frequency of the vibration is —- r m", **in which b is a velocity depending only on the material...determined by the value of l, together with that of** Kb — the only quantity depending on space, time and mass, which occurs in the differential equation.... | |
| John William Strutt (3rd baron Rayleigh.) - 1877
...^m*, in which b is ZTTi a velocity depending only on the material of which the bar is formed, and TO **is an abstract number. Hence for a given material...determined by the value of l, together with that of** «6 — the only quantity depending on space, time and mass, which occurs in the differential equation.... | |
| John William Strutt Baron Rayleigh - Sound - 1894 - 984 pages
...component of this type is expressed by (10). 1cb 171. The frequency of the vibration is 0 — ;w1s, **in which b is ' a velocity depending only on the material...frequency is necessarily determined by the value of** I, together with that of 1cb — the only quantity depending on space, time and mass, which occurs... | |
| William Ernest Dalby - History - 1902 - 287 pages
...formula — K /E P (1) where p is the density of the material, E Young-s modulus, l the length in feet, **K the radius of gyration of the section about an axis perpendicular to the plane of bending.** 125. On the Point of Application of a Force and the Vibrations produced. — If the rod considered... | |
| William Ernest Dalby - Balancing of machinery - 1920 - 303 pages
...formula — 22-4* /E where p is the density of the material, E Young's modulus, I the length in feet, **K the radius of gyration of the section about an axis perpendicular to the plane of bending.** 125. On the Point of Application of a Force and the Vibrations produced. — If the rod considered... | |
| Physics - 1887
...*j / •* \ n= where m is an abstract number, b is the velocity of sound in steel, I is the length, **K the radius of gyration of the section about an axis perpendicular to the plane of bending.** If D be the thickness of the fork, D fC ~~" We may therefore obtain From (2) and the value of the coefficient... | |
| John William Strutt Baron Rayleigh, Robert Bruce Lindsay - Science - 1945 - 520 pages
...abstract number. Hence for a given material and mode of vibration the frequency varies directly as * — **the radius of gyration of the section about an axis...frequency is necessarily determined by the value of** I, together with that of *6 — the only quantity depending on space, time and mass, which occurs in... | |
| Institute of Physics and the Physical Society - Physics - 1886
...KO *t / •* \ where m is an abstract number, 7> is the velocity of sound in steel, I is the length, **K the radius of gyration of the section about an axis perpendicular to the plane of bending.** If D be the thickness of the fork, *= P We may therefore obtain l>= ^? £« (2) From (2) and the value... | |
| Science - 1887
...havef K b , ... where m is an abstract number, b is the velocity of sound in steel, / is the length, * **the radius of gyration of the section about an axis perpendicular to the plane of bending.** If D be the thickness of the fork, D *= — =. /./ 10 We may therefore obtain j . b From (2) and the... | |
| Science - 1908
...(1 + cosh me cos me) =0, in which E = Young's Modulus for the material ; I = the moment of inertia **of the section about an axis perpendicular to the plane of bending** ; to = sectional area of bar (assumed uniform) ; p = density of material ; N = frequency of natural... | |
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