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Readers should review ¢ Key Point Integration only produces the change between the limits of integration; the final result requires the addition of the value at the beginning of integration (C). 20 ° Biomechanical Analysis of Fundamental Human Movements the equations when they are referred to in subsequent chapters. One final point involves the shorthand notation for differentials. So far we have represented differentiation of x with respect to time as dx/dt. The second differential of x is represented by d(dx/dt)/dt or d2x/dt2.

This is exemplified by changes in the composition of the bones of astronauts after long exposure to ¢ Key Point zero gravity. Gravity works against the high jumper and with the diver. Gravity Gravitational force requires us to spend energy in standing, but the energy cost of standing upright always acts toward is much less than that of standing with the knee joints half flexed, although there the center of the is zero motion in each case. In the strict mechanical case, no work is being done earth.

2 Internal muscle action leaves the center of mass stationary while the presence of an external reaction allows it to move. In both cases, momentum and KE are present in the system when the resting length of the spring is reached, and these variables stretch the spring further. 2c and f and begins to return them to their original values. 2c and f are absent since the masses will decelerate and then accelerate in opposite directions over time in an oscillatory manner. 2d-f is that the former motion shows no change in the position of the total center of mass, while the latter shows displacement of the total center of mass which will continue unless another force stops it.

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