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The upper end of a hanging chain is fixed whereas the lower end is attached to a mass M. The (massless) links of the chain are ellipses with major axes and minor axes l+a and l-a can place themselves only with either the major axis or the minor axis vertical. A four-link chain in which the major axes of the first and fourth links and the minor axes of the second and third links are vertical. Presume that the chain has N links and is in thermal equilibrium at temperature ??.
a) Compute the partition function.
b) Calculate the average length of the chain.
Circuits, which provide sinusoidal waveforms, are but useful in themselves and form the basis of many other circuits, such as square and triangular waveform generators, and clocks.
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