![Wednesday, Sept. 18, 2013](http://s1.studyres.com/store/data/002779815_1-001dce3df06159bc0dccc069899a3347-300x300.png)
Wednesday, Sept. 18, 2013
... Relativistic Momentum • If we use the definition of momentum, the momentum of the ball thrown by Frank is entirely in the y direction pFy = mu0 • The change of momentum as observed by Frank is ΔpF = ΔpFy = −2mu0 • Mary measures the initial velocity of her own ball to be u’Mx = 0 and u’My = −u0. • I ...
... Relativistic Momentum • If we use the definition of momentum, the momentum of the ball thrown by Frank is entirely in the y direction pFy = mu0 • The change of momentum as observed by Frank is ΔpF = ΔpFy = −2mu0 • Mary measures the initial velocity of her own ball to be u’Mx = 0 and u’My = −u0. • I ...
Lecture6
... vehicles such as cars and locomotives is friction. A car moves because a reaction to the force exerted by the tire produces a force by the road on the wheel. • What is then driving force of a rocket? When an explosion occurs in a spherical chamber with fuel gas in a rocket engine the hot gas expan ...
... vehicles such as cars and locomotives is friction. A car moves because a reaction to the force exerted by the tire produces a force by the road on the wheel. • What is then driving force of a rocket? When an explosion occurs in a spherical chamber with fuel gas in a rocket engine the hot gas expan ...
FE_Review_Dynamics - Department of Mechanical Engineering
... (A) SFx = T +F= mA*ax ; SFy = N - mA*g*cos(30o) = 0 ...
... (A) SFx = T +F= mA*ax ; SFy = N - mA*g*cos(30o) = 0 ...
Wednesday, Oct. 29, 2008
... The principle of energy conservation can be used to solve problems that are harder to solve just using Newton’s laws. It is used to describe motion of an object or a system of objects. A new concept of linear momentum can also be used to solve physical problems, especially the problems involving col ...
... The principle of energy conservation can be used to solve problems that are harder to solve just using Newton’s laws. It is used to describe motion of an object or a system of objects. A new concept of linear momentum can also be used to solve physical problems, especially the problems involving col ...
Chapter 9. Center of Mass and Linear Momentum
... • If the kinetic energy of the system is conserved, such a collision is called an elastic collision. • If the kinetic energy of the system is not conserved, such a collision is called an inelastic collision. • The inelastic collision of two bodies always involves a loss in the kinetic energy of the ...
... • If the kinetic energy of the system is conserved, such a collision is called an elastic collision. • If the kinetic energy of the system is not conserved, such a collision is called an inelastic collision. • The inelastic collision of two bodies always involves a loss in the kinetic energy of the ...
The Mathematics of Ice Skating - Pleasanton Unified School
... o this diagram represents the basic inertia of the skater (central axis) and the circle she creates o to find the total moment of inertia, we can add the inertia of the torso/leg with the inertia of the arms/leg ...
... o this diagram represents the basic inertia of the skater (central axis) and the circle she creates o to find the total moment of inertia, we can add the inertia of the torso/leg with the inertia of the arms/leg ...
Impulse and Conservation of Momentum Notes
... Law of Conservation of Momentum • Momentum is neither gained nor lost in the absence of an external force • All momentum before = all momentum after ...
... Law of Conservation of Momentum • Momentum is neither gained nor lost in the absence of an external force • All momentum before = all momentum after ...
Impulse and Momentum
... on your head and breaks or stays in one piece and bounces back up? When an object bounces, what happens to it’s velocity? How does that effect it’s change of momentum? Since ∆p is greater in bouncing situations, the Impulse applied will be greater! ...
... on your head and breaks or stays in one piece and bounces back up? When an object bounces, what happens to it’s velocity? How does that effect it’s change of momentum? Since ∆p is greater in bouncing situations, the Impulse applied will be greater! ...
Newton’s Laws of Motion - Wayne State University
... • Mechanics is the study of how/why things move. • The Greeks of the antiquity were the first to think about this - but their notions were seriously flawed. • Early Modern development of Mechanics are due to Galileo (1564-1642) and Newton (1642-1727) • Alternative formulations of mechanics due to La ...
... • Mechanics is the study of how/why things move. • The Greeks of the antiquity were the first to think about this - but their notions were seriously flawed. • Early Modern development of Mechanics are due to Galileo (1564-1642) and Newton (1642-1727) • Alternative formulations of mechanics due to La ...
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.