The Theory of Machines Part I the Principles of Mechanism Part Ii Elementary

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That is, the gain in energy during the period is E 2 EI = aisAi 7 -- a 2 sAz -, -- o~ ft. -pds.
so that the gain in energy is thus known.
252 THE THEORY OF MACHINES Again, the method described earlier in the chapter enables the values of Ji and J 2 to be found and hence the value of J 2 J\. Substituting these in the formula, dE - Kco 2 5J 5co = - 7 J CO the gain in angular velocity is readily found. The values are #2 - Ei = dE, J 2 - J l = 8J, MGA + Ji) = J and for co no error will result in pr
...actice by using the mean speed of rotation of the crank.
During a complete revolution the values of 5co will sometimes be positive and sometimes negative, and in order that the engine may maintain a constant mean speed the algebraic sum of these must be zero. Should the algebraic sum for a revolution be positive, the conclusion would be that there is a gain in the mean speed during the revolution, that is the engine would be steadily gaining in speed, whereas it has been assumed that the governor prevents this.


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