By Igor Evgenyevich Irodov
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Where Fiis the force which the ith body exerts on the given mass point in the absence of other bodies. If that is the case, the forces F1, F2,. . This statement should be regarded as a generalization of experimental data. Newton's third law. In all experiments involving only two bodies A and B, body A imparting acceleration to B, it turns out that B imparts acceleration to A. Hence, we come to the conclusion that the action of bodies on one another is of an interactive nature. e. I F12 =--F21.
In fact, in the K' frame fixed to the point C and translating uniformly relative to the roadbed the point A moves uniformly along a circle about the point C. Consequently, its acceleration in the K' frame is directed toward the centre of the wheel. And since the K' frame moves uniformly, the vector w is the same relative to the roadbed. 6. A point moves along a circle of radius r with deceleration; at any moment the magnitudes of its tangential and normal accelerations are equal. The point was set in motion with the velocity vo.
6) does not change either. In other words, the equation mw = F is invariant with respect to the Galilean transformation. 3. Laws of Forces In accordance with Eq. 6) the motion laws of a particle can be determined in strictly mathematical terms provided we know the laws of forces acting on this particle, that is, the dependence of the force on the quantities determining it. In the final analysis, each law of this kind is obtained from the processing of experimental data, and, basically, always rests on Eq.