Sunday, 15 July 2018

quantum mechanics - Why is it impossible to measure the quantisation of the energy loss of a simple pendulum?



enter image description here




A simple pendulum is damped by friction.


Initial maximum amplitude is $\frac{\pi}{30} rad$
(6 degrees)


Planck's quantized form for the average energy of a mode of frequency $\nu$ $$\langle\epsilon\rangle = \frac{h \nu}{e^{\frac{h \nu}{k T}}}$$


more info here



energy loss in a damped simple pendulum is an exponential decaying Cosine amplitude.


It has a constant frequency. enter image description here


Question


Show with a suitable calculation that it would be impossible to measure the quantisation of the energy loss of the pendulum?



Any sort of tips hints welcome? I am just starting quantum mechanics and I don't really understand what the question is asking?



I guess one could say that Planck quantised his modes of oscillation of cavity radiation by making their average energy dependent on frequency. But the classical pendulum is independent of frequency. But this doesn't prove watertight why you cannot measure it.


Tell me if this is rubbish enter image description here





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