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The value is positive or negative depending on which of the points and that is furthest away from the point . The geometrical problem to solve is to find all ellipses that go through the points P 1 {\displaystyle P_{1}} and P 2 {\displaystyle P_{2}} and have a focus at the point F 1 {\displaystyle F_{1}}
In (1+1) dimensions, i.e. a space made of one spatial dimension and one time dimension, the metric for two bodies of equal masses can be solved analytically in terms of the Lambert W function. [11] However, the gravitational energy between the two bodies is exchanged via dilatons rather than gravitons which require three-space in which to ...
The same applies to link P 2-B: point P 2 is the instant center of rotation for this link and point B moves in the direction as indicated by vector V B. For determining the instant center of rotation of the third element of the linkage, the body BAC, the two points A and B are used because its moving characteristics are known, as derived from ...
See Figure 1. To simplify, let the magnetic field point in the z-direction and vary with location x, and let the conductor translate in the positive x-direction with velocity v. Consequently, in the magnet frame where the conductor is moving, the Lorentz force points in the negative y-direction, perpendicular to both the velocity, and the B-field.
For a body moving in a circle of radius at a constant speed , its acceleration has a magnitude = and is directed toward the center of the circle. [ note 9 ] The force required to sustain this acceleration, called the centripetal force , is therefore also directed toward the center of the circle and has magnitude m v 2 / r {\displaystyle mv^{2}/r} .
A central force is a force (possibly negative) that points from the particle directly towards a fixed point in space, the center, and whose magnitude only depends on the distance of the object to the center. In a few important cases, the problem can be solved analytically, i.e., in terms of well-studied functions such as trigonometric functions.
A system moving between two points takes one particular path; other similar paths are not taken. Each path corresponds to a value of the action. An action principle predicts or explains that the particular path taken has a stationary value for the system's action: similar paths near the one taken have very similar action value.
Though different foods travel through the body at different rates, an average speed through the human small intestine is 3.48 kilometres per hour (2.16 mph). [19] The human lymphatic system is also constantly causing movements of excess fluids , lipids , and immune system related products around the body.