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9.1 Impulse - 9.2 Momentum and the Impulse Momentum Theorem
9.1 Impulse - 9.2 Momentum and the Impulse Momentum Theorem

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... As the curve propagates (see Fig. 2), it soon develops a sharp corner at the center, and thus the derivative is not defined there. This problem has two possible analytical solutions. One possibility is the "swallowtail" solution, which is formed by letting the front pass through itself. However, if ...
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... positive angular displacement, it also results in positive angular velocity. If an object’s angular velocity is ω, then the linear velocity of a point at distance, r, from the axis of rotation is given by v = rω. The speed at which an object on Earth’s equator moves as a result of Earth’s rotation i ...
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... Notice that we derived Snell’s law and the statement i = r 00 without using explicitly the continuity conditions; we had only to use the fact that there are linear continuity conditions. Hence these properties are called kinematic properties (they don’t depend on the particular dynamics of the field ...
28 Copyright A. Steane, Oxford University 2010, 2011
28 Copyright A. Steane, Oxford University 2010, 2011

... comparison with experiment, you must either put all the c’s back into your final equations, or remember that the choice c = 1 is only consistent when the units of distance and time (and all other units that depend on them) are chosen appropriately. For example, one could work with seconds for time, ...
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... and easy to work with, and they act as particles carried along by the flow.) Neutral particles are assumed to move with the same velocity as the surrounding fluid. We address the following control problem: Given the desired path for every particle (position as a function of time), design a feedback ...
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Equations of motion

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