Ye olde inertia demonstration

R. M. Sutton, Demonstration Experiments in Physics (McGraw–Hill, New York, London, 1938), Experiments M-100 and M-101, pp. 46–47.

G. D. Freier and F. J. Anderson, A Demonstration Handbook for Physics (AAPT, College Park, MD, 1996), 3rd ed., Demonstration Mc-2, p. M-16.

The Video Encyclopedia of Physics Demonstrations (The Education Group & Associates, Los Angeles, CA, 1992), Disc 2, Chap. 5, Demo 02-13, “Inertia Ball.”

This demonstration is described at 〈faraday.physics.uiowa.edu/mech/1F20.10.htm〉 and 〈www.physics.brown.edu/Studies/Demo/solids/demos/1f2010.html〉.

P.

LeCorbeiller

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P.

LeCorbeiller

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F. G.

 

Karioris

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This paper uses a more complicated model in which the driving force is sinusoidal and is described by its frequency as well as its amplitude. The jerk variable, equivalent to our α, is neither constant nor explicit, but this model does introduce a possible resonance phenomenon.

M. A.

Heald

and

G. M.

Caplan

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T. R.

Sandin

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The agent supplying $Fappl$ is assumed to move in such a way as to produce the linear-ramp tension in the lower string. In Ref. 8 we considered an alternative model in which the lower end of the lower string is displaced linearly with time, producing a more complicated $T(t)$ in that string, and adding a dependence on the elastic constant of the lower string. Note also that the two strings or wires of the same material will have different spring constants $k$ unless they are of the same length.

A function of the form $sin(u)/u,$ familiar from the theory of single-slit diffraction, is often called the sinc function and is the spherical Bessel function of order zero.

We thank John S. Wallingford (private communication) for suggesting this form of display. See http://www.smnet.net/jwally/.

Like Eq. (9), Eq. (13) also has multiple solutions for small γ. There are narrow strips, just within the anomalous zone boundaries in Fig. 2, within which the sequential breaking occurs. These strips are too narrow to show in the figure and are unlikely to be observable experimentally.

The proper equation is given in Ref. 5 for the special case of $γ=0.5.$ Reference 6 attempts to generalize to arbitrary γ and gives an equation equivalent to our Eq. (13), but with $γ2$ rather than $(1−γ)2$ on the right-hand side.