Bessel, at the end of §3 of his great memoir on the length of the second's pendulum at Königsberg, states that he also used Hardy's noddy, and that he swung his pendulum again after stiffening the support. In a note at the end of this paper I give the mathematical analysis of this state of things, from which it will be seen that Kater might have constructed his noddy in such a manner as to detect any amount of flexure sufficient to have a serious effect upon the period of his pendulum.ģ. In this way the noddy is easily adjusted so as to have the same period of oscillation as the pendulum used to determine gravity, while its moment of inertia is very small. The force tending to bring the pendulum to the vertical is then the excess of the force of the spring over the moment of gravity. It differs from an ordinary pendulum, first, in being upside down, that is, having its center of mass above its point of support and second, in having a spring so strong as to act a little more strongly than gravity. Hardy's noddy is a pendulum turning with a reed spring and provided with an adjustable bob. ![]() Kater made use of the noddy, or inverted pendulum of Hardy, to assure himself that its support was sufficiently steady.Ģ. Thomas Young in his article on Tides in the Encyclopædia Britannica, where he gave a correct mathematical analysis of the problem. The fact that the rate of a pendulum might be largely influenced by the elastic yielding of its support was first pointed out by Dr. This gives a succinct account, in Peirce's own words, of his most original work in the field of pendulum measurements. 359-361 of Appendix 14, "On the Flexure of Pendulum Supports," 1883, pp. ![]() ![]() ![]() A Source of Error in pendulum Measurements (Ed.) From pp. Book 1: Experimental Science Chapter 1: Measurement of the Force of Gravity §1.
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