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Torque and Angular Momentum - Origin Misconception
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[QUOTE="haruspex, post: 6093946, member: 334404"] You can decompose the force in several ways, but the most useful is to take advantage of the symmetry of the problem. It is evident that the forces from the two rear wheels (say) will be mirror images of each other about the central vertical plane through the length of the car. Thus, their torques about that axis (i.e., running up the slope) will cancel; likewise for the axis normal to the plane of the slope. At the same time, their torques about the axis horizontally across the slope, normal to the mirror plane, will be equal and combine. Therefore it suffices to consider forces projected onto that plane. The calculations, but not the answer. I feel you are looking for a theorem that says all choices will lead to the same answer, therefore choose the most convenient. Indeed, that can be proved. You might care to attempt it yourself. [/QUOTE]
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Torque and Angular Momentum - Origin Misconception
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