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If a frictional force ( damping ) proportional to the velocity is also present, the harmonic oscillator is described as a damped oscillator.
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If and frictional
If, on the other hand, an exception is made to A, the countervailing resistive force is akin to the weaker kinetic frictional force.
If the particles are falling in the viscous fluid by their own weight, then a terminal velocity, also known as the settling velocity, is reached when this frictional force combined with the buoyant force exactly balance the gravitational force.
If the economy was already at full employment, with only structural, frictional, or other supply-side types of unemployment, any attempt to boost demand would only lead to inflation.
If the process is performed more slowly, the frictional or viscous dissipation is less.
If the particles are falling in the viscous fluid by their own weight due to gravity, then a terminal velocity, also known as the settling velocity, is reached when this frictional force combined with the buoyant force exactly balance the gravitational force.
If too much torque is applied to the wheels, the force between the wheels and the ground will exceed the maximum frictional force due to the coefficient of friction between the wheel and ground surfaces.
If and force
If he condemns the recent or the present, he condemns the past with no less force.
If the Dominican Republic achieves free, democratic government, it will be due in large part to the U.S. show of force that enabled President Balaguer to prevent a threatened restoration of Trujillo dictatorship.
If they also defeat the school bill, the GOP task force won't have much research to do.
If we fail to develop the means to hunt down and destroy the enemy's military force with extreme care and precision, and if war comes in spite of our most ardent desires for peace, our choice of alternatives will be truly frightening.
If the force required to remove the coatings is plotted against film thickness, a graph as illustrated schematically in Fig. 5 may characteristically result.
If the cutting force, Af, is plotted against film thickness, a straight line should result passing through the origin and having slope Af.
If under the existing system he could not assemble forces quickly enough to intercept mobile Viking raiders, the obvious answer was to have a standing field force.
If the net force on some body is directed always toward some fixed point, the center, then there is no torque on the body with respect to the center, and so the angular momentum of the body about the center is constant.
" ... To this he said: " If that is so you will one day be a force.
If you cannot change your own life, it must be that some greater force controls the world.
* Overrunning clutch or freewheel: If some external force makes the driven member rotate faster than the driver, the clutch effectively disengages.
If the column load is gradually increased, a condition is reached in which the straight form of equilibrium becomes so-called neutral equilibrium, and a small lateral force will produce a deflection that does not disappear and the column remains in this slightly bent form when the lateral force is removed.
If the missile starts to roll, the gyroscopic force of the disk drives the control surface into the airflow, cancelling the motion.
If objects are seen as moving within a rotating frame, this movement results in another fictitious force, the Coriolis force ; and if the rate of rotation of the frame is changing, a third fictitious force, the Euler force is experienced.
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.
LINE SIX: RAF, If in the royal Air force.
If a similar ball is charged by the same glass rod, it is found to repel the first: the charge acts to force the two balls apart.
If one asks an expert for the rules he or she is using, one will, in effect, force the expert to regress to the level of a beginner and state the rules learned in school.
If it exists, the graviton is expected to be massless ( because the gravitational force appears to have unlimited range ) and must be a spin 2 boson.
If we live on a brane ( as hypothesized by some theorists ) this " leakage " of gravitons from the brane into higher-dimensional space could explain why gravitation is such a weak force, and gravitons from other branes adjacent to our own could provide a potential explanation for dark matter.
If and damping
If the energy input by the aerodynamic excitation in a cycle is larger than that dissipated by the damping in the system, the amplitude of vibration will increase, resulting in self-exciting oscillation.
If the damping is small,, as is the case with torsion pendulums and balance wheels, the frequency of vibration is very near the natural resonant frequency of the system:
If the damping is low, this can be obtained by measuring the natural resonant frequency of the balance, since the moment of inertia of the balance can usually be calculated from its geometry, so:
If there is insufficient damping in the steering the oscillation will increase until system failure.
If the 120 ohms recommendation is applied, the damping factor would be an unacceptably low 0. 26 and consequently distortion would be significantly higher.
If the imaginary part () is zero, then the solutions represent all the possible modes, and there is no temporal wave growth or damping at all:
If and proportional
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 ω is directly proportional to k, then the group velocity is exactly equal to the phase velocity.
If the magnetic field is applied by a solenoid, the sensor output is proportional to the product of the current through the solenoid and the sensor voltage.
If there is an additional magnitude of value or a loss of value after transformation compared with before then the relation between values ( proportional to labor ) and prices ( proportional to total capital advanced ) is incomplete.
If, in some future experiment, one of the mass-related phenomena is shown to not be proportional to the others, then that specific phenomenon will no longer be considered a part of the abstract concept of mass.
If the surface of concentric sphere shells were considered, the number of stars on each shell would be proportional to the square of the radius of the shell.
If a collection of atoms are in the excited state, spontaneous decay events to the ground state will occur at a rate proportional to N < sub > 2 </ sub >, the number of atoms in the excited state.
If the air on one side of the diaphragm is at the static pressure, and the other at the stagnation pressure, then the deflection of the diaphragm is proportional to the dynamic pressure, which can then be used to determine the indicated airspeed of the aircraft.
If the material superconducts in the absence of a field, then the superconducting phase free energy is lower than that of the normal phase and so for some finite value of the magnetic field ( proportional to the square root of the difference of the free energies at zero magnetic field ) the two free energies will be equal and a phase transition to the normal phase will occur.
If subgroups ' variances differ significantly and the data need to be stratified by variance, then there is no way to make the subgroup sample sizes proportional ( at the same time ) to the subgroups ' sizes within the total population.
If the force between any two particles of the system results from a potential energy V ( r ) = αr < sup > n </ sup > that is proportional to some power n of the inter-particle distance r, the virial theorem takes the simple form
If a text is rendered using proportional fonts, widths of character boxes are not equal, but are positive.
# If temperature and pressure are kept constant, then the volume of the gas is directly proportional to the number of molecules of gas.
# If the temperature and volume remain constant, then the pressure of the gas changes is directly proportional to the number of molecules of gas present.
# If the number of gas molecules and the temperature remain constant, then the pressure is inversely proportional to the volume.
If the magnetic-pole distribution is known, then the pole model gives the magnetic field H. Outside the magnet, the field B is proportional to H, while inside the magnetization must be added to H. An extension of this method that allows for internal magnetic charges is used in theories of ferromagnetism.
If all atoms were the same size, molar and volumetric heat capacity would be proportional and differ by only a single constant reflecting ratios of the atomic-molar-volume of materials ( their atomic density ).
If Stoke's law holds then the resistance to motion is directly proportional to speed.
If we choose to measure the angle, the final error is proportional to the measurement error.
If we choose to measure the spacing, the final error is proportional to the inverse of the spacing.
If the filter response changes linearly with frequency, the final analog output will be proportional to the input frequency, as desired.
* If one variable is always the product of the other and a constant, the two are said to be directly proportional.
* If the product of the two variables is always equal to a constant, the two are said to be inversely proportional.
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