Recent content by dr_k
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Graduate Classical Fields and Newton's 2nd Postulate of Motion
Dale and PAllen, I placed my thread in this forum to get expert GR opinions; I appreciate your input. GR was not my specialty. I will ponder your recent comments. Thanks again.- dr_k
- Post #24
- Forum: Special and General Relativity
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Graduate Classical Fields and Newton's 2nd Postulate of Motion
Thanks for your input. I wouldn't interpret there being 3 masses, just 2. Let m_I and q_I stand for the intrinsic properties of matter, mass and charge, for an isolated test particle. They are part of the scalar function f(q_I,m_I) that expands/contracts the acceleration in Newton's 2nd...- dr_k
- Post #21
- Forum: Special and General Relativity
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Graduate Classical Fields and Newton's 2nd Postulate of Motion
Bear with me here, m_I is a new definition that denotes one of the two intrinsic properties of matter, m_I and q_I, such that the "new" m_I is not defined to be "the proportionality between net force and acceleration", but part of a scalar function f(q_I, m_I) that expands/contracts the...- dr_k
- Post #19
- Forum: Special and General Relativity
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Graduate Classical Fields and Newton's 2nd Postulate of Motion
PAllen and Dale, The most general picture that I can draw is http://i48.tinypic.com/hs6ssw.jpg , where Newton's 2nd Postulate is {\bf F}_{net} = f(q_I,m_I) {\bf a} , here m_I is the inertial mass and q_I is the "inertial charge", Coulomb's Electrostatic Postulate is {\bf F}_{q_{Coulomb}} =...- dr_k
- Post #17
- Forum: Special and General Relativity
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Graduate Classical Fields and Newton's 2nd Postulate of Motion
Arrghhh. This picture is one where I made some assumptions. A more general picture is: http://i48.tinypic.com/hs6ssw.jpg- dr_k
- Post #14
- Forum: Special and General Relativity
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Graduate Classical Fields and Newton's 2nd Postulate of Motion
Your comments are rational, and precise. My query is only conjecture, one that has been w/ me for decades...just something, for me, to think about...I thought I would run it by the Big Brains that I've encountered here. Aside: I've run this by many a physics compatriot over the years and...- dr_k
- Post #13
- Forum: Special and General Relativity
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Graduate Classical Fields and Newton's 2nd Postulate of Motion
Good Afternoon Martin and Steven, Suppose I postulate that Newton's 2nd Postulate be modified, such that {\bf F}_{net} = f(m,q) {\bf a}. Then I postulate that f(m,q) is a series where the first term is "inertial mass" m, and the second term is a function of the test particle's inertial mass m...- dr_k
- Post #11
- Forum: Special and General Relativity
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Graduate Classical Fields and Newton's 2nd Postulate of Motion
aty, Thanks for your input, I'll read that paper. I could be wrong, but I see a little bit of circular logic here: the principal of equivalence uses the 2nd Postulate {\bf F}_{net}=m{\bf a} as an a priori assumption to show acceleration is independent of the role of test mass versus source mass...- dr_k
- Post #8
- Forum: Special and General Relativity
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Graduate Classical Fields and Newton's 2nd Postulate of Motion
aty and martin, For lack of a more vivid imagination, I would call q, in f(m,q), the "inertial charge" analogous to the "inertial mass" m in f(m,q). f(m,q) = m + (negligible terms), except in instances perhaps not yet encountered, would imply the definition of "inertial mass" would be modified...- dr_k
- Post #6
- Forum: Special and General Relativity
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Graduate Classical Fields and Newton's 2nd Postulate of Motion
I agree w/ your assertion. Newton's 2nd Postulate agrees wonderfully w/ all our observed phenomena...so far. My query is very specific though. Is there a mathematical line of logic, from Classical Field Theory and/or or GR, that forces the scalar f(m,q) to precisely be m?...Not a proof of {\bf...- dr_k
- Post #3
- Forum: Special and General Relativity
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Graduate Classical Fields and Newton's 2nd Postulate of Motion
Although I retired from active physics research almost 2 decades ago, there's a question that has annoyed/intrigued me for almost 40 years... In Classical Field Theory, matter has 2 intrinsic properties, namely mass and charge. Given Newton's 2nd Postulate, {\bf F}_{net} = m {\bf a}, I've...- dr_k
- Thread
- Classical Fields Motion
- Replies: 27
- Forum: Special and General Relativity
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Truck/Box - Accel, distance, time
Good Morning Samirgaliz, The box is accelerating to the left, for an observer at rest on the truck, but this observer's reference frame in non-inertial, i.e. an accelerated frame. The observer, at rest, on the ground is the inertial frame, and he/she sees both the box and the truck...- dr_k
- Post #9
- Forum: Introductory Physics Homework Help
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Elastic potential energy of a spring
You must change the units for your PE calculation. Your current answer is \rm N\cdot cm, but you should write it in terms of \rm J = N\cdot m. To figure out the unknown mass, draw a free body diagram, and then apply Newton's 2nd postulate for static equilibrium.- dr_k
- Post #2
- Forum: Introductory Physics Homework Help
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Dynamic friction and spring force
For the "new picture", we don't have a description of the problem, so we'd have to make up our own. So I'll make a few assumptions... Suppose the block is moving to the right with increasing speed, and the spring is stretched \rm \Delta x from its equilibrium position...- dr_k
- Post #15
- Forum: Introductory Physics Homework Help
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Dynamic friction and spring force
Wow. That is not the picture I envisioned when I read This pictures shows x(t) satisfying a non-homogenous 2nd-order ode, but since you're given the value of \rm \ddot{x}, the displacement is merely (for a stretched spring) \rm \frac{F(\cos\theta + \mu_k \sin\theta)-m (\mu_k g+a_x)}{k}...- dr_k
- Post #13
- Forum: Introductory Physics Homework Help