... and m is an abstract number. Hence for a given material and mode of vibration the frequency varies directly as 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.... The Theory of Sound - Page 267by John William Strutt Baron Rayleigh - 1894 - 984 pagesFull 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...frequency is necessarily determined by the value of** l, together with that of Kb — the only quantity depending on space, time and mass, which occurs in... | |
| 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...frequency is necessarily determined by the value of** l, together with that of «6 — the only quantity depending on space, time and mass, which occurs... | |
| 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...determined by the value of I, together with that of** 1cb — the only quantity depending on space, time and mass, which occurs in the differential equation.... | |
| John William Strutt Baron Rayleigh - Sound - 1894
...component of this type is expressed by (10). xb 171. The frequency of the vibration is •—.-2m,, **in which b is a velocity depending only on the material...frequency is necessarily determined by the value of** l, 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... | |
| 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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