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Topic: Axis of rotation

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	Axis Tilt and Axis Rotation at bowlingball.com
		Axis tilt and axis rotation deal with the angle at which the ball is revolving.
		Axis tilt is determined by the position of the thumb during the release.
		Axis rotation is the horizontal measure of the angle of the ball's revolutions.
	www.bowlingball.com /info/axis-tilt-and-axis-rotation.html (696 words)

	Light valve with rotating polarizing element - Patent 5999316
		The rotation is typically about an axis that is normal to the plane in which the polarizer is located, i.e., the axis of rotation is out of the plane in which the rotating polarizer is located.
		Transmission axis 22 and axis of rotation 24 preferably lie in the plane of rear polarizing element 20.
		16, the shaded polarizing elements 110/120 are those in which the axis of transmission is generally orthogonal or transverse to the axis of rotation for that polarizing element while the unshaded polarizing elements 110/120 are those in which the axis of transmission is generally parallel to the axis of rotation of that polarizing element.
	www.freepatentsonline.com /5999316.html (8145 words)

	Rotating eccentric weight seismic sources and a seismic exploration method - Patent 4143737
		Accordingly, for vertical exploration of earth strata underlying a horizontal surface, it is preferred that the axis of rotation is substantially horizontal, i.e., parallel to the surface of the earth.
		Consequently, rotatable elements 111 and 112 are counter-rotated about a first axis of rotation, rotatable elements 111a and 112a are counter-rotated about a second axis of rotation, with rotatable elements 111 and 111a being rotated about their respective axes in opposite directions, as are elements 112 and 112a.
		The rotation of weights 18 and 18a is always twice that of rods 28 and 28a due to (1) the angle of rotation of the rods and (2) the rotation of conversion gears 27 and 27a due to movement past stationary gears 26 and 26a.
	www.freepatentsonline.com /4143737.html (7297 words)

	Axis of Rotation (Site not responding. Last check: 2007-09-07)
		Rotation around a fixed axis - The simplest three-dimensional case of rotation is rotation of a body about a fixed axis of rotation: each point of the body moves in a plane perpendicular to the axis, carrying out a circular motion, with the circle centered at the intersection of the plane and the axis.
		Axis of rotation - In geometry, the axis of rotation of a rotating body is a line such that for every point of the body its distance to the line remains constant under the rotation, and the point remains in the same plane perpendicular to the axis.
		Rotation - Rotation of a planar body is the movement when points of the body travel in circular trajectories around a fixed point called the center of rotation.
	ax49.museumpessoa.com (1015 words)

	Encyclopedia: Geodesy
		The shape of the earth is to a large extent the result of its rotation, which causes its equatorial bulge, and the competition of geologic processes such as the collision of plates and of vulcanism, resisted by the earth's gravity field.
		The North celestial pole is the extension of the Earth's (precessing and nutating) instantaneous spin axis extended Northward to intersect the celestial sphere.
		Rotation (green), Precession (blue) and Nutation (red) of the Earth Nutation is a slight irregular motion (etymologically a nodding) in the axis of rotation of a largely axially symmetric object, such as a gyroscope or a planet.
	www.nationmaster.com /encyclopedia/Geodesy (5930 words)

	WTR Rotation
		Vertical-axis rotation is a primary mode of deformation that has become widely recognized in every type of tectonic environment, and at a variety of scales ranging from fault zone blocks to tectonic plates.
		Rotation accommodates large amounts of plate boundary and intra-plate deformation and is an important process in the tectonic development of mountain belts, continental rifts, and transform boundaries.
		Simple force balance considerations and comparison of torque applied to a rotating block indicate that shear forces applied to the base of the block are not strong enough to produce the motions and deformation observed at the surface.
	www.calstatela.edu /faculty/nonderd/WTR_rotation.html (649 words)

	United States Patent Application: 0040092356
		When the drive shaft is rotated, the gear arrangement is rotated about its own axis in response to drive shaft rotation and is rotated about the drive shaft's axis in accordance with the position of the friction disk.
		Rotation of the drive gear is translated by the disk to control the speed and the direction of rotation of the driven gear dependent on the disk's position.
		The differences in speed and direction of rotation of bevel gear 12 and the driven gear 50 result in forces being applied to the pinion gears 26 and 28 causing them to rotate as a unit about the axis of drive shaft 10 at the same time they are rotating about their own axes.
	appft1.uspto.gov /netacgi/nph-Parser?Sect1=PTO1&Sect2=HITOFF&d=PG01&p=1&u=/netahtml/PTO/srchnum.html&r=1&f=G&l=50&s1="20040092356".PGNR.&OS=DN/20040092356&RS=DN/20040092356 (2238 words)

	World Intellectual Property Organization (Site not responding. Last check: 2007-09-07)
		In particular, the direction of the axis of rotation AR is an eigenvector corresponding to an eigenvalue of +1.0 of the rotation R since it is invariant to the rotation.
		and hence are on the axis of rotation AR.
		The method of Claim 11 for determining an axis of rotation of a rotary stage wherein said at least one measurement representative of pose is a set of coordinates for a point on the surface of said object, said coordinates referenced to said measurement system.
	www.wipo.int /ipdl/IPDL-CIMAGES/view/pct/getbykey5?KEY=03/90172.031030&ELEMENT_SET=DECL (2311 words)

	Rotation About an Arbitrary Axis in 3 Dimensions
		This algorithm assumes that the axis of rotation is not parallel to the
		However, to apply rotations to many points it is more efficient to calculate the matrix of rotation and apply it to each point.
		If it is known that the axis of rotation is nearly parallel to one of the coordinate axes then the rotation and translations matrices given earlier can be used directly.
	www.mines.edu /~gmurray/ArbitraryAxisRotation/ArbitraryAxisRotation.html (651 words)

	United States Patent Application: 0030033153
		In this embodiment, a first axis of rotation 708, a second axis of rotation 712, and a third axis of rotation 716 for the display are indicated.
		The third axis of rotation 716 allows the display 704 to be spun around as indicated by the arrow around the third axis of rotation 716.
		In this embodiment, a first axis of rotation 808, a second axis of rotation 812, and a third axis of rotation 816 for the display are indicated.
	appft1.uspto.gov /netacgi/nph-Parser?Sect1=PTO2&Sect2=HITOFF&p=1&u=/netahtml/PTO/search-bool.html&r=1&f=G&l=50&co1=AND&d=PG01&s1=20030033153&OS=20030033153&RS=20030033153 (3954 words)

	Device for continuously winding webs of fabric - US Patent 5429320 (Site not responding. Last check: 2007-09-07)
		The axis on which the webs are guided is on opposite sides of the winding device adjacent to the guide roller and oriented parallel to the axis of rotation of the guide roller.
		Thus, the device of the invention does not prevent the removal of a finished roll by means of a suitable transport device parallel to the axis of rotation of the winding shaft from in the direction of the operator side of the device, for example, a lifting car.
		3 is a vertical view of the axis of rotation of the turning disk 18 on the operator side of the device 1, wherein, here too the view is chosen in such a manner that the aforementioned axis of rotation coincides with the longitudinal axis of a wind shaft 2.
	www.patentstorm.us /patents/5429320.html (7413 words)

	Rotation Summary
		Rotation is the movement of an object in a circular motion.
		This is a consequence of Euler's rotation theorem.
		This rotation induces a centrifugal acceleration which slightly counteracts the effect of gravity the closer one is to the equator.
	www.bookrags.com /Rotation (2269 words)

	7-Axis Revolute Device Module
		The axis of rotation of joint 6 intersects, and is perpendicular to, the axis of rotation of joint 5.
		The axis of rotation of joint 7 is perpendicular to the axis of rotation of joint 6.
		Normally, the rotational speed and acceleration time for the first Cartesian rotation angle should be set to be commensurate with the slower of joints 5 (4) or 6 (5), and the values for the second Cartesian rotation angle should be set to the same values as joint 7 (6).
	www.adept.com /main/KE/Data/Robot/DeviceModules/7axisdevice.htm (1100 words)

	PlanetPhysics: axis angle of rotation
		The axis angle of rotation is a result of Euler's theorem of rotation and it describes a rotation of a three dimensional rigid body by a unit vector
		"axis angle of rotation" is owned by bloftin.
		This is version 1 of axis angle of rotation, born on 2005-08-28.
	planetphysics.org /encyclopedia/AxisAngleOfRotation.html (56 words)

	Rotational Motion
		It is often convenient to orient a coordinate system such that the z-axis coincides with the axis of rotation and the x-axis defines the reference orientation.
		Assume that the axis of rotation is vertical.
		The farther the bulk of the mass is from the axis of rotation, the greater is the
	electron9.phys.utk.edu /phys135d/modules/m8/rotation.htm (1683 words)

	Aeronautics - Flight Controls (THE AXES OF ROTATION) - Level 2
		The axis that passes vertically through the center of gravity (when the aircraft is in level night) is called the vertical axis, and rotation about this axis is called yaw.
		Since this motion is around the lateral axis, as the tail moves (pitches) downward, the nose moves (pitches) upward and the aircraft climbs.
		The third axis which passes through the meeting point of the longitudinal and lateral axes from the top of the aircraft to the bottom is called the vertical or yaw axis.
	www.allstar.fiu.edu /aero/flight51.htm (1317 words)

	World Intellectual Property Organization (Site not responding. Last check: 2007-09-07)
		In some examples, when the filter is received in the second portion, the filter may be offset from the axis of rotation so that the axis of rotation does not intersect the filter.
		The method may further comprise rotating the centrifuge rotor, the separation chamber, and the filter about the axis of rotation of the centrifuge rotor, wherein the blood components are centrifugally separated in the chamber interior.
		B is offset slightly from the rotational axis X so that the axis X does not intersect an interior of the filter 31.
	www.wipo.int /ipdl/IPDL-CIMAGES/view/pct/getbykey5?KEY=03/89027.031030&ELEMENT_SET=DECL (11517 words)

	Re: Flybar speculations... was Re: Large Scale turbine Jet Ranger at 3D masters - RC Groups
		>> the axis of rotation, that being the rotor mast!
		>the flybar rotation is NOT the mast centerline.
		It is, therefore, influenced "by" the axis of rotation of the rotor mast.
	www.rcgroups.com /forums/showthread.php?t=141201 (3198 words)

	Axis of Rotation (Site not responding. Last check: 2007-09-07)
		The aerodynamic effects of wing rotation and a revised quasi-steady model of fla...
		Effect of viewing distance and location of the axis of head rotation on the monk...
		To each axis of rotation corresponds a moment of inertia....
	www.scienceoxygen.com /phys/83.html (96 words)

	Rotation
		Clearly, the plane of rotation of the point of application of force is perpendicular to the axis of rotation.
		Often we find that a change in the orientation of the axis or alternatively the change in the distribution of mass with respect to axis of rotation, changes the requirement of external torque to produce a given angular acceleration.
		For the rotation of a particle, we simulate a situation in which a particle like sphere of mass "m" is rotated by applying external force.
	cnx.org /content/m14277/latest (3146 words)

	kirupa.com - Trigonometry and Multiple Axes
		Rotation here won't be around one axis restricted to only one coordinate space as was the case before.
		With 2D rotation around a point, whether it be in a fully 2D space or just within a single plane in a 3D space, you deal primarily with those three principal factors used previously, origin, angle and radius.
		Recalculating a radius for each axis rotation is a chore and not something anyone should have to put up with (as we did earlier with the moving camera with panning example).
	www.kirupa.com /developer/actionscript/trig_multiple_axis.htm (1406 words)

	The Parallel Axis Theorem
		The swingweight of a racquet is measured by the Babolat RDC using an axis of rotation 10 cm from the butt.
		Swingweight, also known as moment of inertia and rotational inertia, is the resistance to change in the speed of the rotation about the axis of rotation.
		The distance of the mass center (balance point of the racquet) from the axis of rotation for the known swingweight is r, and the racquet mass is M.
	www.racquetresearch.com /parallel.htm (698 words)

	ROTATION
		In describing the rotation of a rigid body we have to choose a reference line with respect to which the angle of rotation is being measured.
		The direction of the velocity vector is parallel to the rotation axis and the right-hand rule needs to be used to determine whether the vector points upwards or downwards.
		To derive this equation we have assumed that for rotations around a fixed axis the distance r from point A to the rotation axis is constant (independent of time) which is true for a rigid body.
	teacher.pas.rochester.edu /phy121/LectureNotes/Chapter11/Chapter11.html (1837 words)

	3D Rotation
		In 2D the axis of rotation is always perpendicular to the xy plane, i.e., the Z axis, but in 3D the axis of rotation can have any spatial orientation.
		Special case: The rotation axis is parallel to a principle coordinate axis.
		Rotate so that the rotation axis is aligned with one of the principle coordinate axes.
	www.siggraph.org /education/materials/HyperGraph/modeling/mod_tran/3drota.htm (718 words)

	Earth’s rotation changing
		For the most part, the Earth’s rotation speed and the direction of the axis are (nearly) constant because of the conservation of angular momentum.
		The Earth’s rotation axis doesn’t point exactly along the axis of its angular momentum because it does have a tiny amount of lopsidedness to its distribution of mass.
		And the moon creates an asymmetrical tug on the lopsidedness of mass, and also causes tides in the water, which have to slosh around and are a little offset from the direct pull of the moon.
	van.physics.uiuc.edu /qa/listing.php?id=1031 (544 words)

	Rigid body rotation
		It is possible to define an axis of rotation (which, for the sake of simplicity, is assumed to pass through the body)--this axis corresponds to the straight-line which is the locus of all points inside the body which remain stationary as the body rotates.
		A general point located inside the body executes circular motion which is centred on the rotation axis, and orientated in the plane perpendicular to this axis.
		Thus, in a rigidly rotating body, the rotation speed increases linearly with (perpendicular) distance from the axis of rotation.
	farside.ph.utexas.edu /teaching/301/lectures/node99.html (354 words)

	OpenVRML: openvrml::rotation Class Reference
		The first three are an axis of rotation, and the last is rotation in radians.
		Construct a rotation equal to the rotation between two different vectors.
		0 is the x axis component, 1 is the y axis component, 2 is the z axis component, and 3 is the angle.
	www.openvrml.org /doc/classopenvrml_1_1rotation.html (205 words)

	Earth's Rotation
		As a large rotating mass, Earth acts like a gyroscope as it revolves around the Sun, that is, at every point along its orbit, its axis of rotation points toward the same fixed point in distant space.
		The change in orientation of the tilt is due to a wobble in Earth's rotation axis.
		The tilt of Earth's rotation axis is the primary cause of the seasons.
	www.esse.ou.edu /fund_concepts/Fundamental_Concepts1/Solar_System/Earths_Rotation.htm (492 words)

	Changing a Planet's Rotation from Within
		If the ice skater extends her arms in front, she'll continue to spin but her axis of rotation won't pass through the center of her body any more, so changes in axis location and orientation are possible, too.
		The axis won't change its position radically because the angular momentum vector must still point in the same direction, and it can only do that if the asteroid and the Prince are rotating around an axis somewhere not far from the original axis (Note 2).
		If our Little Prince were to sit for a long time somewhere off the pole, each wobble of the rotation axis would swing him a bit farther from the angular momentum axis, and slight frictional deformation of the asteroid would mean he wouldn’t return quite as close as he was on the previous wobble.
	www.uwgb.edu /dutchs/PLATETEC/ChangeRotn0.HTM (2635 words)

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