. The principles of physics. e, its application is not always convenient, since, forexample, it necessitates putting the machine in motion inorder to measure s and s(the distances traversedrespectively by the pointsof application of the forceand resistance in the sametime), an operation whichwould be very difficultand tedious in manycases. Hence, a speciallaw, one in which therelation between the ratioof gain and the ratio be-tween certain dimensionsof the machine is stated,is often more convenientin practice. For example,in our experiment withthe lever we discover thatR : F : : force-arm: res


. The principles of physics. e, its application is not always convenient, since, forexample, it necessitates putting the machine in motion inorder to measure s and s(the distances traversedrespectively by the pointsof application of the forceand resistance in the sametime), an operation whichwould be very difficultand tedious in manycases. Hence, a speciallaw, one in which therelation between the ratioof gain and the ratio be-tween certain dimensionsof the machine is stated,is often more convenientin practice. For example,in our experiment withthe lever we discover thatR : F : : force-arm: resistance-arm, the force and resistancevary inversely as the lengths of their respective arms. Comparethis special law with the general law. Place the fulcrum atother points in the lever, and thereby vary the length of thearms, and verify by numerous experiments the special lawof levers. Experiment 4. — By means of a pulley, D, so arrange (Fig. 62) thatboth F and R may be on the same side of the fulcrum. First, place in. Fio. 62. 104 MOLAR DYNAMICS. the pan weights sufiSoient to produce equilibrium in the machine (forexample, in this case, one ball). Then suspend weights at some point, asA, and place other weights in the pan to counterbalance these. Verifythe law of levers. If A be the resistance, what mechanical advanta,ge isgained? What is the ratio of gain? If B be the resistance, whatmechanical advantage fs gained ? 85. Wheel and axle. — The wheel and axle consists of twocylinders having a common axis, the larger of which is called


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Keywords: ., bookcentury1800, bookdecade1890, booksubjectphysics, bookyear1895