Exam 3 Practice Solutions - Ursinus College Student, Faculty and
... (a) Sketch a graph that shows the block’s potential energy, kinetic energy, and total mechanical energy as a function of position x (see figure). It is convenient to set the zero of gravitational potential energy to be the bottom of the ramp (that definition will be used for the remainder of this pr ...
... (a) Sketch a graph that shows the block’s potential energy, kinetic energy, and total mechanical energy as a function of position x (see figure). It is convenient to set the zero of gravitational potential energy to be the bottom of the ramp (that definition will be used for the remainder of this pr ...
Phys Sci Chapter 3 notes
... Law of conservation of momentum—states that total momentum is neither created or destroyed, but it is transferred in collisions. Example: when you hit a cue ball for the first time in a game of pool, it has all of the momentum. When it strikes the other pool balls, it transfers some of its momentum ...
... Law of conservation of momentum—states that total momentum is neither created or destroyed, but it is transferred in collisions. Example: when you hit a cue ball for the first time in a game of pool, it has all of the momentum. When it strikes the other pool balls, it transfers some of its momentum ...
PowerPoint Presentation - Chapter 15 Thermodynamics
... acceleration than one nearer the axis. It is harder to get the system rotating when the mass is at the end of the rod than when it is nearer to the axis. ...
... acceleration than one nearer the axis. It is harder to get the system rotating when the mass is at the end of the rod than when it is nearer to the axis. ...
Chapter 8
... • There are three factors that determine the effectiveness of the force in opening the door: – The magnitude of the force – The position of the application of the force – The angle at which the force is applied Section 8.1 ...
... • There are three factors that determine the effectiveness of the force in opening the door: – The magnitude of the force – The position of the application of the force – The angle at which the force is applied Section 8.1 ...
Chapter 6
... Both objects reach the same speed at the floor. However, while the beanbag comes to rest on the floor, the ball bounces back up with nearly the same speed as it hit. Thus, the change in momentum for the ball is greater, because of the rebound. The impulse delivered by the ball is twice that of the b ...
... Both objects reach the same speed at the floor. However, while the beanbag comes to rest on the floor, the ball bounces back up with nearly the same speed as it hit. Thus, the change in momentum for the ball is greater, because of the rebound. The impulse delivered by the ball is twice that of the b ...
Physics Presentation
... mv = m r … The mass is not affected by a smaller radius, while velocity is… ...
... mv = m r … The mass is not affected by a smaller radius, while velocity is… ...
Example 11-3.
... For SHM, the period does not depend on the amplitude. For a pendulum with small , this is true, so a pendulum exhibits SHM for small displacements. For large (greater than 15 degrees or so) the smallangle approximation is not valid and the period does depend on the amplitude (max). Example 11-8 ...
... For SHM, the period does not depend on the amplitude. For a pendulum with small , this is true, so a pendulum exhibits SHM for small displacements. For large (greater than 15 degrees or so) the smallangle approximation is not valid and the period does depend on the amplitude (max). Example 11-8 ...
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.