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Excerpt from The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, Vol. 29: Fifth Series; January-June, 1890
In practice the symmetry is seldom so complete that this account of the matter is sufficient. Theoretically the slightest departure from symmetry will in general render determinate the positions of the nodal systems. For each number of cycles 72, there is one determinate mode of vibration with 271 nodes and 2a intermediate loops, and a second determinate mode in which the nodes and Ioops of the first mode exchange functions. Moreover the frequencies of the vibrations in the two modes are slightly different.
In accordance with the general theory, the vibrations of the two modes as dependent upon the situation and magnitude of the initiating blow are to be considered separately. The vibrations of the first mode will be excited, unless the blow occur at a node of this system; and in various degrees, reaching a maximum when the blow is delivered at a loop. The intensity, as appreciated by an observer, depends also upon the position of his ear, and will be greatest when a loop is immediately opposite. As regards the vibrations of the second mode, they reach a maximum when those of the first mode disappear, and conversely.
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