If F ( r ) represents gravity, it is a negative term proportional to 1 / r < sup > 2 </ sup >, so the net acceleration in r in the rotating frame depends on a difference of reciprocal square and reciprocal cube terms, which are in balance in a circular orbit but otherwise typically not.

If hammering downwards gravity will increase the acceleration during the hammer stroke and increase the energy delivered with each blow.

If hammering upwards gravity will reduce the acceleration during the hammer stroke and therefore reduce the energy delivered with each blow.

If acceleration can be felt by a body as the force ( hence pressure ) exerted by the object bringing about the acceleration on the body, jerk can be felt as the change in this pressure.

If the initial and final positions are sufficiently close together, the maximum acceleration or maximum velocity may never be reached.

If other effects were ignored, tidal acceleration would continue until the rotational period of the Earth matched the orbital period of the Moon.

Consider now the acceleration due to the sphere of mass M experienced by a particle in the vicinity of the body of mass m. With R as the distance from the center of M to the center of m, let ∆ r be the ( relatively small ) distance of the particle from the center of the body of mass m. For simplicity, distances are first considered only in the direction pointing towards or away from the sphere of mass M. If the body of mass m is itself a sphere of radius ∆ r, then the new particle considered may be located on its surface, at a distance ( R ± ∆ r ) from the centre of the sphere of mass M, and ∆ r may be taken as positive where the particle's distance from M is greater than R. Leaving aside whatever gravitational acceleration may be experienced by the particle towards m on account of ms own mass, we have the acceleration on the particle due to gravitational force towards M as:

If an object with comparable mass to that of the Earth were to fall towards it, then the corresponding acceleration of the Earth really would be observable.

If the object doesn't bounce after it has collided with the Earth, each of them then exerts a repulsive contact force on the other which effectively balances the attractive force of gravity and prevents further acceleration.

If the particles become fast enough that relativistic effects become important, the beam becomes out of phase with the oscillating electric field, and cannot receive any additional acceleration.

If the charged object has a positive charge, the force and acceleration will be in the direction of the field.

If the acceleration vector A of a particle P is constant in magnitude and direction, the particle is said to be undergoing uniformly accelerated motion.

If the trajectory of the particle is constrained to lie on a cylinder, then the radius R is constant and the velocity and acceleration vectors simplify.

If the Moon continues to recede from the Earth due to tidal acceleration, resonances may occur which will cause large oscillations of the obliquity.

( If each square represents 10 metre instead, the size of the track and the maximum acceleration will be more realistic.

If the mass remains unchanged, as is most often the case, then the velocity changes and acceleration occurs.

If you know momentum and the mass of the object you do not need acceleration to calculate final velocity.

If the vehicle does not have adequate wheel location in the vertical plane ( such as a rear-wheel drive car with Hotchkiss drive, a live axle supported by simple leaf springs ), vertical forces exerted by acceleration or hard braking combined with high unsprung mass can lead to severe wheel hop, compromising traction and steering control.

If the object is much denser than the fluid, then B approaches zero and the object's upward acceleration is approximately − g, i. e. it is accelerated downward due to gravity as if the fluid were not present.

If the oscillation is sufficiently strong ( in terms of its acceleration and amplitude ) then the inverted pendulum can recover from perturbations in a strikingly counterintuitive manner.

If the circumstances are faced frankly it is not reasonable to expect this to be true.

If his dancers are sometimes made to look as if they might be creatures from Mars, this is consistent with his intention of placing them in the orbit of another world, a world in which they are freed of their pedestrian identities.

If a work is divided into several large segments, a last-minute drawing of random numbers may determine the order of the segments for any particular performance.

If they avoid the use of the pungent, outlawed four-letter word it is because it is taboo ; ;

If Wilhelm Reich is the Moses who has led them out of the Egypt of sexual slavery, Dylan Thomas is the poet who offers them the Dionysian dialectic of justification for their indulgence in liquor, marijuana, sex, and jazz.

If he is the child of nothingness, if he is the predestined victim of an age of atomic wars, then he will consult only his own organic needs and go beyond good and evil.

If it is an honest feeling, then why should she not yield to it??

If he thus achieves a lyrical, dreamlike, drugged intensity, he pays the price for his indulgence by producing work -- Allen Ginsberg's `` Howl '' is a striking example of this tendency -- that is disoriented, Dionysian but without depth and without Apollonian control.

If love reflects the nature of man, as Ortega Y Gasset believes, if the person in love betrays decisively what he is by his behavior in love, then the writers of the beat generation are creating a new literary genre.

If he is good, he may not be legal ; ;

If the man on the sidewalk is surprised at this question, it has served as an exclamation.

If the existent form is to be retained new factors that reinforce it must be introduced into the situation.

If we remove ourselves for a moment from our time and our infatuation with mental disease, isn't there something absurd about a hero in a novel who is defeated by his infantile neurosis??

If many of the characters in contemporary novels appear to be the bloodless relations of characters in a case history it is because the novelist is often forgetful today that those things that we call character manifest themselves in surface behavior, that the ego is still the executive agency of personality, and that all we know of personality must be discerned through the ego.

If he is a traditionalist, he is an eclectic traditionalist.

If our sincerity is granted, and it is granted, the discrepancy can only be explained by the fact that we have come to believe hearsay and legend about ourselves in preference to an understanding gained by earnest self-examination.

If to be innocent is to be helpless, then I had been -- as are we all -- helpless at the start.

If five judges then the highest and lowest scores are discarded and the middle three are summed and multiplied by the degree of difficulty ( DD ), which is determined from a combination of the moves undertaken, in which position and from what height ).

If B is a circle, then these eigenfunctions have an angular component that is a trigonometric function of the polar angle θ, multiplied by a Bessel function ( of integer order ) of the radial component.

If two triangles satisfy the SSA condition and the corresponding angles are acute and the length of the side opposite the angle is equal to the length of the adjacent side multiplied by the sine of the angle, then the two triangles are congruent.

If two triangles satisfy the SSA condition and the corresponding angles are acute and the length of the side opposite the angle is greater than the length of the adjacent side multiplied by the sine of the angle ( but less than the length of the adjacent side ), then the two triangles cannot be shown to be congruent.

If f represents a very small but intense source of heat, then the preceding integral can be approximated by the delta distribution, multiplied by the strength of the source.

If the pressure cooker is not capable of cooking at the industry standard 15 psi and the recipe is intended for cooking at 15 psi, the cooking time will need to be extended ( e. g. the cooking time for 15 psi multiplied by 1. 3 ), but this can overcook food.

If the interest is credited once, at the end of the year, the value is $ 2. 00 ; but if the interest is computed and added twice in the year, the $ 1 is multiplied by 1. 5 twice, yielding $ 1. 00 × 1. 5² = $ 2. 25.

If the surrounding medium is not air, then the distance is multiplied by the refractive index of the medium.

Putting any of the four vertices in the role of O yields four such identities, but in a sense at most three of them are independent: If the " clockwise " sides of three of them are multiplied and the product is inferred to be equal to the product of the " counterclockwise " sides of the same three identities, and then common factors are cancelled from both sides, the result is the fourth identity.

If the game is won, the coins of the character are multiplied, usually twofold, but in one of the games, it is possible to win up to 64-fold.

If either of the vectors being multiplied is zero or the vectors are parallel then their cross product is zero.

If the homogeneous coordinates of a point are multiplied by a non-zero scalar then the resulting coordinates represent the same point.

* Assault: If a piece with a small value, multiplied by the number of vacant spaces between it and another larger piece is equal to the larger piece, the larger piece is captured.

If the sphere has radius 1 in n dimensions, then after time the metric will be multiplied by, so the manifold will collapse after time.

If the flash occurs equal to the period of rotation ( or evenly multiplied or divided, i. e. n * ω or ω / n, where n is an integer and ω the angular frequency ) the marked point will appear to not move.

If we then note that the sheet resistance R < sub > S </ sub > is the resistivity divided by the thickness of the sample, and that the sheet density n < sub > S </ sub > is the doping level multiplied by the thickness, we can divide the equation through by the thickness to get

If this is not already the case then both A and B can be multiplied by this factor ; the factor cancels so the terms are unchanged and there is no loss of generality.

If multiplied by 100, these calculations can be expressed as a percentage ( 50 % and 200 % respectively ).

If q = 1 the Hurwitz zeta function reduces to the Riemann zeta function itself ; if q = 1 / 2 it reduces to the Riemann zeta function multiplied by a simple function of the complex argument s ( vide supra ), leading in each case to the difficult study of the zeros of Riemann's zeta function.

If the average fuel economy of a manufacturer's annual fleet of vehicle production falls below the defined standard, the manufacturer must pay a penalty, currently $ 5. 50 USD per 0. 1 mpg under the standard, multiplied by the manufacturer's total production for the U. S. domestic market.

If the winning team had not banked any prizes, they were given a roll of the die multiplied by $ 10, or $ 100 for rolling the "$".

# If a given categorical node has dependent children ( e. g. when it is a latent variable in a mixture model ), the value computed in the previous step ( expected count plus prior, or whatever is computed ) must be multiplied by the actual conditional probabilities ( not a computed value that is proportional to the probability!

If it is multiplied by 2, 3, 4, 5, or 6, the answer will be a cyclic permutation of itself, and will correspond to the repeating digits of 2 / 7, 3 / 7, 4 / 7, 5 / 7, or 6 / 7, respectively.

If a set of edges contains a cycle, then the corresponding columns ( multiplied by if necessary to reorient the edges consistently around the cycle ) sum to zero, and is not independent.