The Artizan . oesnot express what it means, neither in substance nor in quantity. There isno more vis-viva in a moving mass than in one at rest. It requires F v tand nothing- else to set a mass in motion; it requires F v t and nothingelse to bring a moving body to rest; and it is Fv t, and nothing else, thatcan change the motion of a body. The sooner the term vis-viva is rejected in its present acceptation, thesooner will the science of dynamics be cleared up. Whatever name maybe selected for the work concentrated in a moving mass, it ought to ex-press the fundamental elementsP V and T. I woul
The Artizan . oesnot express what it means, neither in substance nor in quantity. There isno more vis-viva in a moving mass than in one at rest. It requires F v tand nothing- else to set a mass in motion; it requires F v t and nothingelse to bring a moving body to rest; and it is Fv t, and nothing else, thatcan change the motion of a body. The sooner the term vis-viva is rejected in its present acceptation, thesooner will the science of dynamics be cleared up. Whatever name maybe selected for the work concentrated in a moving mass, it ought to ex-press the fundamental elementsP V and T. I would propose tocall it energy, but even if the termvis-viva is maintained, it oughtto mean the true work -J- M V-and not M V2. A parallelopipedon constructedon the mean velocity will repre-sent the true work P v t. When the force P is variable,as represented by Fig. 5, the hy-pothenuse of the catheters l andV will be a curved line, the formof which depends on the nature ofvariation of P, but the work willstill be. W = fFGtrH, as before. Momentum, Velocity, Space, Power, Work, M V ./Fit. y F dt. W 8 = fdv /*pat P= IfF,-/Pdt = 2F»( = M V which will represent the work under all circumstances. The form jure of work depends on the nature of variation of F and v. Id the case of a body moving through a fluid, as a vessel through thethe water, a bomb through the air, where the resistance is as the squareof the velocity, thi k v. ill be a pyramid. Comparing the members 1 and 5 we have, 1 5 OPT [V T or the momentum, M V ion we have the velocity,V = 11aw R n which LO, will be 12 M 2 - I! n in which ! ration of the rotating body, and » = numberof revolutions pi p mi A. force multiplied 1 i - called static momentum ; which is anal tia multiplied by the radius ofgyration .Ml!, which seems to hav a claim to be died moment of inertia. The square of rted in the member C, will represent the work c ma s, at ? 2ff Ml:- n of which the part MR3 has been denominated moment of inertia. I was in error i
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Keywords: ., bookcentury1800, bookdecade1840, booksubje, booksubjecttechnology
