If the path of the particle or centre of mass of the rigid body passes through the given origin, its angular momentum is zero.

* If the offence fumbles ( a ball carrier drops the football, or has it dislodged by an opponent, or if the intended player fails to catch a lateral pass or a snap from centre, or a kick attempt is blocked by an opponent ), the ball may be recovered ( and advanced ) by either team.

If volcanic activity continues, the centre of the caldera may be uplifted in the form of a resurgent dome such as is seen at Cerro Galán, Lake Toba, Yellowstone, and so on, by subsequent intrusion of magma.

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 Iona was the greatest religious centre in Dál Riata, it was far from unique.

If they'd had another singer they'd never have got further than Salford shopping centre.

If a unicyclist is ( far ) off balance they can't move their centre of gravity to the other side of the wheel ( the base of which is the fulcrum ) without pushing off a wall ( or similar )— so in order not to fall over, they must turn the wheel ( with their lower body ) and move it ( by pedalling ) underneath their centre of gravity.

If the mass is evenly distributed, then the centre of mass of each limb is at its midpoint, and the limb has a moment of inertia of about that point.

If the origin of the Cartesian coordinate system is taken to be at the point of suspension of the first pendulum, then the centre of mass of this pendulum is at:

If the starter motor or battery failed, the 2CV had the option of hand-cranking, the jack handle serving as starting handle through dogs on the front of the crankshaft at the centre of the fan.

If you look closely at the east and west sides of the tower, you will notice something odd about one of the two large windows in the centre.

If the work to be done is rectilinear motion of a body with constant mass, whose center of mass is to be accelerated along a straight line to a speed and angle with respect to the centre and radial of a gravitational field by an onboard powerplant, then the associated kinetic energy to be delivered to the body is equal to

If disc galaxies had mass distributions which were similar to the observed distribution of stars and gas, the rotation curves velocities should decline at large distances ( dotted line A in illustration ), in the same way as other systems with most of their mass in the centre, such as the Solar System of planets or the moons of Jupiter, following the prediction of Kepler's Laws.

If there is steric crowding on the substrate near the leaving group, such as at a tertiary carbon centre, the substitution will involve an S < sub > N </ sub > 1 rather than an S < sub > N </ sub > 2 mechanism, ( an S < sub > N </ sub > 1 would also be more likely in this case because a sufficiently stable carbocation intermediary could be formed.

If you were to drive a car along a great circle you would hold the steering wheel in the centre, but to follow a rhumb line you would have to turn the wheel, turning it more sharply as the poles are approached.

If it were placed at the centre of our Solar System, it would extend to the orbit of Saturn.

If they are incarcerated, they will be sent to a youth detention centre.

In the centre is the Château d ' If

If the centre of pressure is ahead of the centre of gravity, the effect is destabilizing ; if the centre of pressure is behind the centre of gravity, the effect is stabilizing.

If this arc is drawn so that it meets the shank at zero angle ( that is, the distance of the centre of the arc from the axis, plus the radius of the shank, equals the radius of the arc ), then it is called a tangential or spitzer ogive.

If a ship floods, the loss of stability is caused by the increase in B, the centre of buoyancy, and the loss of waterplane area-thus a loss of the waterplane moment of inertia-which decreases the metacentric height.

If we neglect higher than first order terms in the fluctuations, the mass balance equation becomes

* Continuity: If a certain mass of fluid enters a volume, it must either exit the volume or change the mass inside the volume.

If we define r < sub > i </ sub > as the displacement of particle i from the center of mass, and v < sub > i </ sub > as the velocity of particle i with respect to the center of mass, then we have

If a small heater is available for the coldest nights, a slab or basement cistern can inexpensively provide the required thermal mass.

If the boat floats, the mass of the boat ( plus contents ) as a whole divided by the volume below the waterline is equal to the density of water ( 1 kg / l ).

If there are other stars orbiting a black hole, their orbit can be used to determine its mass and location.

If the air mass is colder than the ground below it, it is labeled k. If the air mass is warmer than the ground below it, it is labeled w. While air mass identification was originally used in weather forecasting during the 1950s, climatologists began to establish synoptic climatologies based on this idea in 1973.

If a main-sequence star is not too massive ( less than approximately 8 solar masses ), it will eventually shed enough mass to form a white dwarf having mass below the Chandrasekhar limit, which will consist of the former core of the star.

If is much smaller than, the mass ratio is almost identical to the mass fraction.

If this acceleration is multiplied by the particle mass, the leading term is the centripetal force and the negative of the second term related to angular acceleration is sometimes called the Euler force.

If one item in a package or stack initiates, it will usually propagate to the other items, creating a mass fire.

If we choose the shape of the control volume such that all flow in or out occurs perpendicular to its surface, then the flow of matter into the system performs work as if it were a piston of fluid pushing mass into the system, and the system performs work on the flow of matter out as if it were driving a piston of fluid.

If the primary variable is mass fraction (, given, for example, in ), then the equation changes to:

If disk galaxies merge with another galaxy of comparable mass ( at least 15 percent of its mass ) the merger will likely destroy, or at a minimum greatly disrupt the disk, yet the resulting galaxy is not expected to be a disk galaxy.

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.