An elementary treatise on mechanics, embracing the theory of statics and dynamics, and its applications to solids and fluids (1849)
Smith, Augustus William, 1802-1866 · New York, Harper · leaf 112
cogs at the point ofcontact, Cm, Cm being per-pendiculars from the centersC and C, of the wheels, onthat line. Taking the moments about C, when the power and weightare in equilibrium, we have P.C/A=$.Cm,and about C, W.CB=S.Cm. Dividing the latter by the former, we haveW_C^A CmP ~ CB OWNow, if the… … WHEEL AND AXLE. 89 If the direction of the line Sm mS changes as the actionpasses from one cog to the succeeding, the point o will alsochange its position, and the relation of W to P become va-riable. But when the cogs are of such form that the normal Sm mBat their point of contact shall always be…
Mechanics, Analytic
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