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Mechanics
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Newton's Laws

In order to quantify the behavior of human-powered devices it will be adequate to use the description provided by classical mechanics. In about 1686 Newton formulated the results of many experimental observations in the form of three "Laws" that describe the expected behavior of relatively large objects.

The first law places a body in a state of rest, or in uniform motion, unless it is acted on by a net force that can change this state.

The second law, shown on the postage stamp, describes the effect of a force, F, acting on a body of mass, m, moving with a velocity, v, for a time Dt. The law states that the effect of the force is to change the momentum, mv, of the body as a function of time such that:             D(mv) = FDt    or, taking the mass to be constant and recognizing the quantity (Dv/Dt) as the acceleration, a, of the body: F = ma = m(dv/dt).

The third law states that if two bodies interact the forces between them are of equal magnitude and opposite direction.

With these ideas, and quite a lot of work, we can start to understand the behavior of falling apples, bikes, boats and aircraft, rockets to the Moon and Mars, and the gyrations of the universe.