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Bringing Newton`s Laws to Life
... Relevant physics topic: Angular Momentum and Moment of Inertia Materials: Wire hanger (coat hanger), some string, two masses (two D batteries about 5oz each), two flat washers, scissors, and tape Set up: You first would have to cut two pieces of string one will go on the top of the hanger and the ot ...
... Relevant physics topic: Angular Momentum and Moment of Inertia Materials: Wire hanger (coat hanger), some string, two masses (two D batteries about 5oz each), two flat washers, scissors, and tape Set up: You first would have to cut two pieces of string one will go on the top of the hanger and the ot ...
ch_07_PPT_lecture
... between the colliding balls, but the total momentum of the interacting balls remains the same. • When you jump into the air, you push off the Earth and the Earth pushes off you. The upward momentum you gain is cancelled by the corresponding downward momentum acquired by the Earth. © 2014 Pearson Edu ...
... between the colliding balls, but the total momentum of the interacting balls remains the same. • When you jump into the air, you push off the Earth and the Earth pushes off you. The upward momentum you gain is cancelled by the corresponding downward momentum acquired by the Earth. © 2014 Pearson Edu ...
lectures 2015
... In linear mechanics, the mass is measure of a body’s reluctance to change its state of linear motion. The larger the mass, the slower the rate of change of velocity for a given applied force. In rotational mechanics, the moment of inertia takes the place of the mass, and it is a measure of a body’s ...
... In linear mechanics, the mass is measure of a body’s reluctance to change its state of linear motion. The larger the mass, the slower the rate of change of velocity for a given applied force. In rotational mechanics, the moment of inertia takes the place of the mass, and it is a measure of a body’s ...
Review Game
... 15. Refer to Figure 2. Describe the graph of the vertical component of velocity versus time for the motion of the ball shown in the figure. Identify any constants that would appear in the graph. ...
... 15. Refer to Figure 2. Describe the graph of the vertical component of velocity versus time for the motion of the ball shown in the figure. Identify any constants that would appear in the graph. ...
Uniform Circular Motion
... Figure 2.1 level surfaces for the coordinate r Our second coordinate measures an angular distance along the circle. We need to choose some reference point to define the angle coordinate. We choose a ‘reference ray’, a horizontal ray starting from the origin and extending to +! along the horizontal d ...
... Figure 2.1 level surfaces for the coordinate r Our second coordinate measures an angular distance along the circle. We need to choose some reference point to define the angle coordinate. We choose a ‘reference ray’, a horizontal ray starting from the origin and extending to +! along the horizontal 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.