Some articles on rigid system, rigid, system:
Parallel Axes Rule - Moment of Inertia Matrix
... The inertia matrix of a rigid system of particles depends on the choice of the reference point ... Consider the inertia matrix obtained for a rigid system of particles measured relative to a reference point S, given by where ri defines the position of particle Pi, i=1.. ... Let R be the center of mass of the rigid system, then where d is the vector from the reference point S to the center of mass R ...
... The inertia matrix of a rigid system of particles depends on the choice of the reference point ... Consider the inertia matrix obtained for a rigid system of particles measured relative to a reference point S, given by where ri defines the position of particle Pi, i=1.. ... Let R be the center of mass of the rigid system, then where d is the vector from the reference point S to the center of mass R ...
Inertia Tensor - Polar Moment of Inertia - Newton's Laws For Planar Movement
... Newton's laws for a rigid system of N particles, Pi, i = 1.. ... The kinematics of a rigid body yields the formula for the acceleration of the particle Pi in terms of the position R and acceleration A of the reference particle as well as the angular velocity ... point ri and the unit vectors ti = kxei, so This yields the resultant torque on the system as where eixei = 0, and eixti = k is the unit vector perpendicular to the plane for all of the ...
... Newton's laws for a rigid system of N particles, Pi, i = 1.. ... The kinematics of a rigid body yields the formula for the acceleration of the particle Pi in terms of the position R and acceleration A of the reference particle as well as the angular velocity ... point ri and the unit vectors ti = kxei, so This yields the resultant torque on the system as where eixei = 0, and eixti = k is the unit vector perpendicular to the plane for all of the ...
Famous quotes containing the words system and/or rigid:
“A religion so cheerless, a philosophy so sorrowful, could never have succeeded with the masses of mankind if presented only as a system of metaphysics. Buddhism owed its success to its catholic spirit and its beautiful morality.”
—W. Winwood Reade (1838–1875)
“Let’s call something a rigid designator if in every possible world it designates the same object, a non-rigid or accidental designator if that is not the case. Of course we don’t require that the objects exist in all possible worlds.... When we think of a property as essential to an object we usually mean that it is true of that object in any case where it would have existed. A rigid designator of a necessary existent can be called strongly rigid.”
—Saul Kripke (b. 1940)
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