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|    sci.physics.research    |    Current physics research. (Moderated)    |    17,516 messages    |
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|    Message 17,483 of 17,516    |
|    Jonathan Thornburg [remove -color t to All    |
|    Re: Inertia and the Principles of Dynami    |
|    10 Nov 25 19:22:27    |
      [continued from previous message]              the ice. That is, $Ilow$ is pushing up on $Ihigh$ with a (compression)       force $vF5$, and $Ihigh$ is pushing down on $ILow$ with a (compression)       force $F6 = -F5$.              If $g$ is nonzero (e.g., if we're on the Earth's surface), then, looking       at the equations for $F5$ and $F6$, we see that these compression forces       are *non-uniform*, i.e., $F5$ and $F6$ vary with the height $x$: at $x=0$       (the bottom of the ice) $F5$ and $F6$ have their maximum magnitudes; at       larger heights $x$ both forces decrease (linearly with the height $x$),       and at $x=L$ (the top of the ice) $F5 = F6 = 0$.                            As you can see, the analysis of the vertical-ice system was basically       identical to the analysis of the horizontal-ice system, with the       vertical-ice gravitational acceleration $g$ playing the same role as       the horizontal-ice acceleration $a = F_ext/m_ice$. This is "just" an       example of Einstein's equivalence principle at work: an accelerated       reference frame can equivalently be viewed as stationary in a uniform       gravitational field.              --       -- "Jonathan Thornburg [remove -color to reply]" |
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