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Page "Centripetal force" ¶ 67
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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 arises from a weight being drawn up the inclined plane of successive asperities, why isn't it balanced then through descending the opposite slope?
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 cannot
If we cannot stop warfare in our own economic system, how can we expect to abolish it internationally??
If the points aren't thrown all the way, the Turnout cannot be locked, and in turn, the signal cannot be cleared.
`` If we cannot tell evil, horror, and insanity from nonsense, what is the future of humor and comedy ''??
If a litigant chooses to enforce a Federal right in a State court, he cannot be heard to object if he is treated exactly as are plaintiffs who press like claims arising under State law with regard to the form in which the claim must be stated -- the particularity, for instance, with which a cause of action must be described.
If the patient can perceive figure kinesthetically when he cannot perceive it visually, then, it would seem, the sense of touch has immediate contact with the spatial aspects of things in independence of visual representations, at least in regard to two dimensions, and, as we shall see, even this much spatial awareness on the part of unaided touch is denied by the authors.
If the latter knows nothing about the absent sitter except his name ( given by the experimenter ), he cannot possibly give any clues, conscious or unconscious, far less ask leading questions.
If a union cannot perform this function, then collective bargaining is being palmed off by organizers as a gigantic fraud.
If we cannot make explicit choices, how do we know that our set exists?
If there is an overabundance of food hunted, the arctic fox will bury what the family cannot eat.
If the daughter is an only child or her sisters are deceased and have no living issue, she ( or her heir ) is vested with the title ; otherwise, since a peerage cannot be shared nor divided, the dignity goes into abeyance between the sisters or their heirs, and is held by no one.
If the assets used are not identical ( so a price divergence makes the trade temporarily lose money ), or the margin treatment is not identical, and the trader is accordingly required to post margin ( faces a margin call ), the trader may run out of capital ( if they run out of cash and cannot borrow more ) and go bankrupt even though the trades may be expected to ultimately make money.
If nature cannot err, then there are no paradoxes in it ; to Hobbes, the paradox is a form of the absurd, which is inconsistency: " Natural sense and imagination, are not subject to absurdity " and " For error is but a deception ...
If we cannot stay here alive, then we will stay here dead.
If a pair cannot hit downwards, they will use flat strokes in an attempt to gain the attack.
But this destruction, coupled with a protracted siege of Rain ( 9 – 16 July ), caused Prince Eugene to lament "... since the Donauwörth action I cannot admire their performances ", and later to conclude " If he has to go home without having achieved his objective, he will certainly be ruined.
* Indivisibility of certain goods: If a person wants to buy a certain amount of another's goods, but only has for payment one indivisible unit of another good which is worth more than what the person wants to obtain, a barter transaction cannot occur.
If the remaining array to be searched is reduced to zero, then the key cannot be found in the array and a special " Not found " indication is returned.
If players cannot move either die in a roll, given the position of their checkers then that turn is over and the turn passes to the opponent.
If the Crawford rule is in effect, then another option is the Holland rule, which stipulates that after the Crawford game, a player cannot double until after at least two rolls have been played by each side.
If we look at this situation from far above, so that we cannot see the supporters, we see the large balloon as a small object animated by erratic movement.
If a newer software version cannot save files that can be read by the older version, it is not backward compatible with the older version, although it may provide an irreversible upgrade capability for the old files.
If a Banach algebra has unit 1, then 1 cannot be a commutator ; i. e., for any x, y ∈ A.
If a bookmaker follows the rules of the Bayesian calculus in the construction of his odds, a Dutch book cannot be made.
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