Routh2.] 88. The interpretation of the equations of motion leads to a theorem of considerable importance, which may be thus stated4. The period of a conservative system vibrating in a constrained type about a position of stable equilibrium is stationary... The Theory of Sound - Page 109by John William Strutt Baron Rayleigh - 1894 - 984 pagesFull view - About this book
| John William Strutt Baron Rayleigh - Sound - 1877 - 984 pages
...of the equations of motion leads to a theorem of considerable importance, which may be thus stated1. **The period of a conservative system' vibrating in...of freedom, is represented by taking the quantities** cj1 in given ratios. If we put h = Af, 4,t = Aj9, &c ................... (1), 6 is a variable quantity,... | |
| 1877
...of the equations of motion leads to a theorem of considerable importance, which may be thus stated1. **The period of a conservative system vibrating in a...type is normal. We might prove this from the original** equa? tions of vibration, but it will be more convenient to employ the normal co-ordinates. The constraint,... | |
| John William Strutt Baron Rayleigh - Sound - 1894 - 984 pages
...not normal) has been discussed by Somof and by Routh'.] 88. The interpretation of the equations of **motion leads to a theorem of considerable importance,...of freedom, is represented by taking the quantities** <f> in given ratios. If we put ^ = A,0, <f>., = A.0,bc ................... (1), 0 is a variable quantity,... | |
| John William Strutt Baron Rayleigh - Sound - 1894 - 984 pages
...not normal) has been discussed by Somof and by Routh2.] 88. The interpretation of the equations of **motion leads to a theorem of considerable importance,...of freedom, is represented by taking the quantities** <f> in given ratios. If we put <k = ^A <f>, = AJ,&c ................... (1), 6 is a variable quantity,... | |
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