Elementary Theory of the Tides the Fundamental Theorems Demonstrated Without Ma

Cover Elementary Theory of the Tides the Fundamental Theorems Demonstrated Without Ma
Elementary Theory of the Tides the Fundamental Theorems Demonstrated Without Ma
Abbott, Thomas Kingsmill, 1829-1913
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It will save repetition if we state once for all certain general principles which we shall have to employ : 1. First, suppose an accelerating force acts alternately in opposite directions; the effect (measured by velocity) increases as long as the force acts in either Direction ; and therefore the velocity in that direction is greatest at the 16 THE TIDES.
moment that the force changes its direction. Thus a pendulum is moving fastest at the lowest point of its oscillation.
2. Secondly, the velo
...city (diminishing under the coun- teraction of the force) continues to be in the same direction until this counter force has undone all the work accom- plished in that direction by the previous force. If the circumstances are alike in both directions, this will be when the force has done half its work. This again is precisely the case of the common pendulum. For the present case this will be at efgh, fig. 3.
3. Thirdly, in the case before us, the water rises when the particles behind are moving faster than those before.


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