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Geography 03b
... example of the Principle of Relativity which states: There is no experiment you can perform that will enable you to know the absolute velocity of a uniformly moving object. Similarly, a uniformly moving object will continue that way forever unless acted on by some external force that changes its vel ...
... example of the Principle of Relativity which states: There is no experiment you can perform that will enable you to know the absolute velocity of a uniformly moving object. Similarly, a uniformly moving object will continue that way forever unless acted on by some external force that changes its vel ...
Dynamics
... If a force acts of a body, the body will accelerate. The ratio of the applied force to the resulting acceleration is the inertia (or mass) of the body. If a torque acts on a body that can rotate freely about some axis, the body will undergo an angular acceleration. The ratio of the applied torque to ...
... If a force acts of a body, the body will accelerate. The ratio of the applied force to the resulting acceleration is the inertia (or mass) of the body. If a torque acts on a body that can rotate freely about some axis, the body will undergo an angular acceleration. The ratio of the applied torque to ...
Chapter 03
... • Inertia - the natural tendency of an object to remain in a state of rest or in uniform motion in a straight line (first introduced by Galileo) • Basically, objects tend to maintain their state of motion and resist change. • Newton went one step further and related an object’s mass to its inertia. ...
... • Inertia - the natural tendency of an object to remain in a state of rest or in uniform motion in a straight line (first introduced by Galileo) • Basically, objects tend to maintain their state of motion and resist change. • Newton went one step further and related an object’s mass to its inertia. ...
Applying Newton`s Laws of Motion
... You probably guessed that it takes more force to stop a large truck than a small car. ln physics terms, we say that the tuck has gteater momentum. We can find momentum using this equation: ...
... You probably guessed that it takes more force to stop a large truck than a small car. ln physics terms, we say that the tuck has gteater momentum. We can find momentum using this equation: ...
Sample Course Outline
... Get a good, scientific calculator that has scientific notation ("EE" or "EXP" key), log, ln, x2, , etc. Business calculators usually do not have all of these features. Review the mathematics required for the course, i.e., vector algebra, rules of differentiation and integration, and properties of d ...
... Get a good, scientific calculator that has scientific notation ("EE" or "EXP" key), log, ln, x2, , etc. Business calculators usually do not have all of these features. Review the mathematics required for the course, i.e., vector algebra, rules of differentiation and integration, and properties of d ...
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.