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| Tags: constants, fundamental, mechanics, three, two, variables |
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#1
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Since there are really only 3 fundamental Variables in mechanics: Force (f), [& weight (w)]; displacement (s), and time(t); this simplifies acceleration to [a=2s/t^2]; so that the ratios w/g=f/a are also simplified to wt^2/s = ft^2/s: These _ratios_ are the long sought fundamental Constants of mechanics: 'Gravitational mass' (w/g), and 'Inertial mass' (f/a). To simplify writing the equations. we'll use the following abbreviations: Symbol # to abbreviate 1 pound, the symbol ' to abbreviate 1 foot, and the symbol sec^2 to abbreviate 1 second squared: Therefo w/g=f/a; becomes: wt^2/s = ft^2/s = 1# sec^2/1'=2# sec^2/2'=3# sec^2/3'= 4# sec^2/4';; up to thousands of pounds, or more. [For the moon; the ratio of w/g is 5.53# sec^2/5.53 feet; for the Earth; w/g is 32.174# sec^2/32.174feet.] Notice that the units [pounds(#), seconds(sec), and feet(')] cancel; leaving ONE pound second squared, per foot: Therefo ONE# sec^2/'=wt^2/s=ft^2/s; applies anywhere, and (these ratios) are the long sought constants of physics. Don |
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#2
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"Don1" wrote in message oups.com... Since there are really only 3 fundamental Variables in mechanics: Force (f), [& weight (w)]; displacement (s), and time(t); this simplifies acceleration to [a=2s/t^2]; so that the ratios w/g=f/a are also Have you thought in which direction the forces are acting in? For a body (a point mass) on a horizontal frictionless surface, at rest, it's weight force w=mg will be at normal N to the ground, therefore there are no horizontal components of force due to the weight for this point mass. That is, for x axis representing the horizontal plane, N_x = 0, N_y = mg Even if the body moves along the frictionless horizontal surface, N_x = 0, since mg is always normal to this surface. Therefore you can't equate mg with the f=ma at all. Dyl. |
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#3
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Don1 wrote: Since there are really only 3 fundamental Variables in mechanics: Force (f), [& weight (w)]; displacement (s), and time(t); this simplifies acceleration to [a=2s/t^2]; so that the ratios w/g=f/a are also simplified to wt^2/s = ft^2/s: These _ratios_ are the long sought fundamental Constants of mechanics: 'Gravitational mass' (w/g), and 'Inertial mass' (f/a). To simplify writing the equations. we'll use the following abbreviations: Symbol # to abbreviate 1 pound, the symbol ' to abbreviate 1 foot, and the symbol sec^2 to abbreviate 1 second squared: Therefo w/g=f/a; becomes: wt^2/s = ft^2/s = 1# sec^2/1'=2# sec^2/2'=3# sec^2/3'= 4# sec^2/4';; up to thousands of pounds, or more. [For the moon; the ratio of w/g is 5.53# sec^2/5.53 feet; for the Earth; w/g is 32.174# sec^2/32.174feet.] Notice that the units [pounds(#), seconds(sec), and feet(')] cancel; leaving ONE pound second squared, per foot: Therefo ONE# sec^2/'=wt^2/s=ft^2/s; applies anywhere, and (these ratios) are the long sought constants of physics. Don you are a fool. your post is perfect example of why the si system is better than the imperial system. not to mention your confusion over how forces work. |
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