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Re: Scale problem
Imagine an automobile in neutral gear on flat ground. Try to lift it - that is gravitational mass. Try to push it - that is inertial mass. The Equivalence Principle states that gravitational and inertial mass are fundamentally indistinguishable. This is true for all chemical compositions, spinning bodies, charged bodies, magnets, superconductors... to one part in ten trillion difference/average. Measuring either one gets the job done for both.
You now have many choices. You can measure force (e.g., a spring scale and Hook's Law for small displacements). You can measure mass (e.g., a balance against a calibrated reference mass). You can create a pendulum and measure its period. You could hang it from a series of filaments of known decreasing tensile strength until one breaks. Place it on the far end and measure deflection of a cantilever (laser pointer to create an optical interferometer and use a stiff I-beam!). Place it upon the top edge of a a thin plate of Plexiglas or polycarbonate sitting on a sharp "^", between two crossed linear polarizers, and measure the fringe shift at the point of bottom contact. Hook it to an air piston (plunger of a well-lubed hypodermic syringe containig some air volume) and (P1)(V1)=(P2)(V2) at constant temperature in tension or compression. Etc.
Tall central spindle risng out of a round platterattached with a hinge or joint to an arm at its top, or maybe just a filament. Place the lump to be tested at the far end of the arm or filament and spin up the spindle and its platter at a constant rate. How does the angle the arm rises depend on the angular velocity, the length of the arm, and the mass of the object added?
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Uncle Al
http://www.mazepath.com/uncleal/
(Toxic URL! Unsafe for children and most mammals)
http://www.mazepath.com/uncleal/qz4.htm
Last edited by UncleAl; 05-08-2005 at 01:33 PM..
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