1 - Graphicon`2002
... • Articulated Bodies, Joints & Joint Limits • Forward Dynamics via Structural Recursion ...
... • Articulated Bodies, Joints & Joint Limits • Forward Dynamics via Structural Recursion ...
Physics 2010 Summer 2011 REVIEW FOR FINAL EXAM
... slope, the speed of the skier is 4.4 m/s. Find the work done by the kinetic frictional force that acts on the ...
... slope, the speed of the skier is 4.4 m/s. Find the work done by the kinetic frictional force that acts on the ...
scalar quantities and vector quantities in m
... 2.1 Addition and Subtraction of Vectors The study of mechanics involves the measurement of physical quantities such as position, mass, velocity, acceleration, force, moment of inertia, time, and angular speed. Some of these quantities are called scalar quantities because they can be described comple ...
... 2.1 Addition and Subtraction of Vectors The study of mechanics involves the measurement of physical quantities such as position, mass, velocity, acceleration, force, moment of inertia, time, and angular speed. Some of these quantities are called scalar quantities because they can be described comple ...
Impulse and Collisions
... What is the unit for momentum? How do you tell if something is harder to stop? If velocity is increased, and momentum remains the same, what happens to mass? What is the difference between inertia and momentum? ...
... What is the unit for momentum? How do you tell if something is harder to stop? If velocity is increased, and momentum remains the same, what happens to mass? What is the difference between inertia and momentum? ...
How Things Work
... torque exerted on it divided by its rotational mass. The angular acceleration is in the same direction as the torque. angular acceleration = torque/rotational mass torque = rotational mass· angular acceleration ...
... torque exerted on it divided by its rotational mass. The angular acceleration is in the same direction as the torque. angular acceleration = torque/rotational mass torque = rotational mass· angular acceleration ...
An introduction to analytical mechanics
... Apart from what is contained in MK, this course also encompasses an elementary understanding of analytical mechanics, especially the Lagrangian formulation. In order not to be too narrow, this text contains not only what is taught in the course, but tries to give a somewhat more general overview of ...
... Apart from what is contained in MK, this course also encompasses an elementary understanding of analytical mechanics, especially the Lagrangian formulation. In order not to be too narrow, this text contains not only what is taught in the course, but tries to give a somewhat more general overview of ...
Mass times velocity.
... However, though witty and perhaps true for many matters on which the French have great expertise, this saying is simply not good physics. Instead, a physicist would say: “Things stay the same, period. That is, unless acted upon by a net force.” Perhaps a little less joie de vivre than your average F ...
... However, though witty and perhaps true for many matters on which the French have great expertise, this saying is simply not good physics. Instead, a physicist would say: “Things stay the same, period. That is, unless acted upon by a net force.” Perhaps a little less joie de vivre than your average F ...
Relativistic angular momentum
""Angular momentum tensor"" redirects to here.In physics, relativistic angular momentum refers to the mathematical formalisms and physical concepts that define angular momentum in special relativity (SR) and general relativity (GR). The relativistic quantity is subtly different from the three-dimensional quantity in classical mechanics.Angular momentum is a dynamical quantity derived from position and momentum, and is important; angular momentum is a measure of an object's ""amount of rotational motion"" and resistance to stop rotating. Also, in the same way momentum conservation corresponds to translational symmetry, angular momentum conservation corresponds to rotational symmetry – the connection between symmetries and conservation laws is made by Noether's theorem. While these concepts were originally discovered in classical mechanics – they are also true and significant in special and general relativity. In terms of abstract algebra; the invariance of angular momentum, four-momentum, and other symmetries in spacetime, are described by the Poincaré group and Lorentz group.Physical quantities which remain separate in classical physics are naturally combined in SR and GR by enforcing the postulates of relativity, an appealing characteristic. Most notably; space and time coordinates combine into the four-position, and energy and momentum combine into the four-momentum. These four-vectors depend on the frame of reference used, and change under Lorentz transformations to other inertial frames or accelerated frames.Relativistic angular momentum is less obvious. The classical definition of angular momentum is the cross product of position x with momentum p to obtain a pseudovector x×p, or alternatively as the exterior product to obtain a second order antisymmetric tensor x∧p. What does this combine with, if anything? There is another vector quantity not often discussed – it is the time-varying moment of mass (not the moment of inertia) related to the boost of the centre of mass of the system, and this combines with the classical angular momentum to form an antisymmetric tensor of second order. For rotating mass–energy distributions (such as gyroscopes, planets, stars, and black holes) instead of point-like particles, the angular momentum tensor is expressed in terms of the stress–energy tensor of the rotating object.In special relativity alone, in the rest frame of a spinning object; there is an intrinsic angular momentum analogous to the ""spin"" in quantum mechanics and relativistic quantum mechanics, although for an extended body rather than a point particle. In relativistic quantum mechanics, elementary particles have spin and this is an additional contribution to the orbital angular momentum operator, yielding the total angular momentum tensor operator. In any case, the intrinsic ""spin"" addition to the orbital angular momentum of an object can be expressed in terms of the Pauli–Lubanski pseudovector.