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| Scion FR-S / Toyota 86 GT86 General Forum The place to start for the Scion FR-S / Toyota 86 | GT86 |
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#43 |
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Need to understand the 86 to love (and forgive) the 86.
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#44 | |
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Quote:
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#46 | |
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Second, I am actually a engineer by trade with state certification in the subject of mechanical engineering. Third COG and COM can only be the same point if the assemptions is to which the system of particles are infact a ridgit body. Depends on which level you are analyzing, COG and COM can be very different. Also COG by definition where the resulting torque due to gravity in that given location equal zero. The COG equation is written as f(r)=-q(r)dVgk. -is the general noteation of gravity force direction. V is volume while q is density at each point of the total volume. g is gravity while k is the directional unit vector of the vertical(y) plane. Using sum of the moment equal zero or sum(T)= int(V) ((r-R)xf(r))=0 where R is the respective location of center of gravity of each x,y,z plane. In this case because your unit vector in x, and z plane is zero, your sum of moment would also be zero in y and z plane. As a result, COG is only useful in determining a reference location on the horizontal plane where the partical body system will not rotate due to gravity. Therefore changing the ride hight of your car does not change the COG because it does not change the resulting torque on system body due to gravity. No wonder our engineering and science student becomes less competitive on the globe market. It seems like they don't even bother to teach the distinction between the two anymore |
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#47 |
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Center of mass, center of gravity are exactly as I described. Lower the car, lower the c.g., center of mass. Period.
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#48 | |
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Let me ask you this, when you set up your dynamic calculations, do you consider your acceleration as a directional vector sum or do you have a seperate equation which breaks out the effects of gravity? Though both approach would technically be correct, but breaking out the resulting reaction due to gravity would be redundant. If you use the directional vector sum, which as you describe in your post, then you are talking about COM. During the vechicle dynamic analysis for external forces acting on the car, assuming the car is a ridgit body where the weight of the body is concentrated at COM is convenient. However when analyzing the internal particle system's reaction to each others, using COM would be more appropriate. this is because you can no longer assume the car behaves like a ridget solid body. |
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#49 | |
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The only time center of gravity and center of mass are in different places is if the gravitational field cannot be considered constant over the whole body.
And since we are quoting wikipedia Quote:
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#50 |
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#51 |
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If you think in three dimensions, you will have a "center of mass" in every axis. X (front to back) Y (side to side) and Z (up and down). For a rigid body analysis, that is the point you use when calculating the moments and forces applied to the tires by the mass of the car as it accelerates in any form.
Particle systems? The system is rigid enough and the amount of mass that is free to move is so small that doing an analysis like that is just foolish. The potential for increased accuracy would easily be taken up by the variation in test results caused by changes in driver input, random variation, noise in the measurement system, etc. This isn't particle physics. Things on a macro scale (E.G., a car) are way too complicated and there are far too many "particles" to even consider using that type of analysis for any kind of practical problem solving. The manner in which you analyze the system, whether you do a sum or some sort of superposition when it comes to gravity should have no net effect on the final result. The physical system is the physical system. Any analysis that does not net the same final answer (disregarding differences in the assumptions and accuracy of the type of calculation. Assuming mathematical method is the only change) is wrong. Cheers Nathan |
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#52 |
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The BRZ/86/FRS is not slow, the other cars just have a lot more power to compensate for their relatively humongous weight.
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#53 |
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Not disputing that fact. But here is the question, how can you accurately setup your sum of moments (torque) equal zero for all 3 planes to solve for R when your unt vector in X and Z direction is zero?
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#54 | |
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The funny part is that when you goto the Civic forums they all yell about how slow the twins are, even after you present them with well thought out and sourced links showing them the same results from the same car magazines for all 4 versions of the cars in question(FR-S/BRZ, Si 2 and 4 door). 1/10th faster to 60mph for one, 1/10th faster for another, trading blows back and forth with no clear winner. |
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#55 | |
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I think the point you are trying to make is that if you take the (x,y) points of the center of mass, you can take any arbitrary z value and the moment about the center of mass due to gravity force about that point will be zero if you assume the gravity force is only in the z direction. However, we don't define center of gravity by only (x,y) because while that is useful when the car is on flat ground and gravity only acts in the z, imagine the situation where the car is parked on a hill. Assume the z plane still goes up through the roof of the car, gravity force acts partially in the z direction and partially in either x, y, or both. Now there is only one (x,y,z) position where the moment about the center of mass due to gravity force is zero. |
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| The Following 2 Users Say Thank You to u/Josh For This Useful Post: | strat61caster (03-13-2013), wu_dot_com (03-13-2013) |
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#56 | |
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![]() I think I've turn 90% of people away from this topic with this geek talk.
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| The Following User Says Thank You to wu_dot_com For This Useful Post: | sprintertrueno86 (03-13-2013) |
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