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Page "Friction" ¶ 14
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If and friction
If the rake angle **yc of the knife is high enough and the friction angle **yt between the front of the knife and the back of the chip is low enough to give a positive value for Af, the resultant vector R will lie above the plane of the substrate.
If rotation is arrested, the energy stored in fashioning the concave surface must be dissipated, for example through friction, before an equilibrium flat surface is restored.
If friction cannot do this ( that is, the coefficient of friction is exceeded ), the ball slides to a different radius where the balance can be realized.
If a particular rule A is considered inviolable, some force akin to static friction is regarded as maintaining the status quo, preventing movement in the direction of abrogating A.
If the base is damaged, it is common to have it repaired in order to protect the core from exposure as well as reducing friction.
If the friction and heat dissipation were not present, the Moon's gravitational force on the tidal bulge would rapidly ( within two days ) bring the tide back into synchronization with the Moon, and the Moon would no longer recede.
If every message is passed through several servers ( ideally in different legal and political jurisdictions ), then attacks based on legal systems become considerably more difficult, if only because of ' Clausewitzian ' friction amongst lawyers, courts, different statutes, organizational rivalries, legal systems, etc.
If water gets between the friction surfaces and the drum, it acts as a lubricant and reduces braking efficiency.
If the pad friction and self-amplification are high enough, the brake will stay on due to self-application even when the external application force is released.
If the majority of deceleration is from unavoidable friction instead of braking, one is squeezing out most of the service from the vehicle.
If friction tubes are employed when cordite or other smokeless powder charges are used, the erosion of the vent is very rapid unless the escape of the gas is prevented ; in this case T-headed tubes are used.
If the string is connected to the shaft with a loop, there may not be enough friction to overcome gravity, and begin winding the string.
If a spacecraft gets too far into the atmosphere, the energy lost to friction can exceed that gained from the planet's gravity.
In all cases, resting contact requires special treatment: If two objects collide ( a posteriori ) or slide ( a priori ) and their relative motion is below a threshold, friction becomes stiction and both objects are arranged in the same branch of the scene graph.
If the body is given an initial velocity at A, or if friction is taken into account, the curve that minimizes time will differ from the one described above.
If the torque applied to one of the drive wheels exceeds the threshold of traction, then that wheel will spin, and thus only provide torque at each other driven wheel limited by the sliding friction at the slipping wheel.
If the gap between the surfaces reduces then the outflow via the edges of the bearing is reduced and the pressure goes up, forcing the surfaces apart again very strongly, giving excellent control of the gap and giving low friction
If the geometry of the body is fixed and in case of symmetric flight ( β = 0 and Q = 0 ), pressure and friction coefficients are functions depending on:
If the bore is a total vacuum ( such as a tube with a plasma window ) there is no friction at all which helps prolonged reusability.
If the chairlift stops suddenly ( as from use of the system emergency brake ), the carrier's arm connecting to the grip pivots smoothly forward — driven by the chair's inertia — and maintains friction ( and seating angle ) between the seat and passenger.
If sawdust is prone to build up under the cutting blade, through friction the spinning blade will quickly ignite the accumulated dust, and the smoke can be mistaken for an overheated blade.
If the coefficient of static friction is known of a material, then a good approximation of the angle of repose can be made with the following function.
If the climber falls, then he will free-fall the distance of the slack or unprotected rope before friction applied by the belayer will start to slow his descent.

If and arises
If one also removes the second postulate (" a line can be extended indefinitely ") then elliptic geometry arises, where there is no parallel through a point outside a line, and in which the interior angles of a triangle add up to more than 180 degrees.
The " diamond problem " ( sometimes referred to as the " deadly diamond of death ") is an ambiguity that arises when two classes B and C inherit from A, and class D inherits from both B and C. If D calls a method defined in A ( and does not override the method ), and B and C have overridden that method differently, then from which class does it inherit: B, or C?
If either the 2nd player chooses to move to the square diagonal to the first player or the first player's 2nd move is not to this square given the choice, then a starting position before flipping moves commence that differs from the standard Othello position arises.
If a dispute arises as to the accuracy or completeness of the codification of an unenacted title, the courts will turn to the language in the United States Statutes at Large.
If a large part of the cooking time is spent at temperatures lower than 60 ° C ( as when the contents of the cooker are slowly cooling over a long period ), a danger of food poisoning due to bacterial infection, or toxins produced by multiplying bacteria, arises.
If an electron is forbidden from simultaneously occupying positive-energy and negative-energy eigenstates, the feature known as Zitterbewegung, which arises from the interference of positive-energy and negative-energy states, would have to be considered to be an unphysical prediction of time-dependent Dirac theory.
If the need arises, the members of either house can force a committee to take action on a bill, or they can ignore the committee's recommendations.
If this development is aborted, a secotioid form arises, perhaps to be followed eventually by an evolutionary progression to a fully gasteroid form.
If the Esc key and other keys that send escape sequences are both supposed to be meaningful to an application, an ambiguity arises, if a terminal or terminal emulator is in use.
If humanity follows its current path, the Empire will fall and thirty thousand years of turmoil will overcome humanity before a second Empire arises.
If rotational frequency is larger than orbital frequency, a small torque counteracting the rotation arises, eventually locking the frequencies ( situation depicted in green )
If G arises as the group of units of a ring A, then an inner automorphism on G can be extended to a projectivity on the projective space over A by inversive ring geometry.
In this paper Khayyám mentions his will to prepare a paper giving full solution to cubic equations: " If the opportunity arises and I can succeed, I shall give all these fourteen forms with all their branches and cases, and how to distinguish whatever is possible or impossible so that a paper, containing elements which are greatly useful in this art will be prepared.
If it is restricted then the issue arises of how to collect the tax on media which can also be used for other purposes.
If, for whatever reason, one does equate happiness with pleasure, then the paradox of hedonism arises.
If the union of impression and faculty be sufficiently strong, consciousness ( not self-consciousness ) arises, and definite sensations and perceptions begin to be formed.
If the dispute arises because some aspect of the constitution is ambiguous or unclear, the ultimate resolution of the crisis often establishes a precedent for the future.
" If we simply cannot reduce costs any further, if we arrive at conditions similar to those during the war, if these persons can, in fact, no longer be held in compliance with human dignity-whereby not only food, drink, housing, and hygiene, but also medical treatment must be considered -, then arises the serious, absolutely burning question for us, what can happen to curtail the burden of heredity.
If a vacancy arises at another time, due to death or resignation, then it may be filled in one of two ways, depending of whether the vacancy is for a first-past-the-post constituency AM or for an additional-member AM.
If a mutation that conveys resistance to one of the drugs being taken arises, the other drugs continue to suppress reproduction of that mutation.
If we use the term concept as above, the question then arises as to what is a concept?
If this situation arises, the family is allowed to keep the children because of the natural causes of this impregnation.
If implementing community care mechanisms gives rise to one set of problems, then a whole new set of problems also arises when these same mechanisms are dismantled and the responsibilities which they once assumed are placed back on the shoulders of individual members of society.
If a vacancy arises at another time, due to death or resignation, then it may be filled in one of two ways, depending of whether the vacancy is for a first-past-the-post constituency MSP or for an additional-member MSP.

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