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... • Angular momentum is a measure of the spin of an object. It depends on the mass that is spinning, on the distance from the rotation axis, and on the rate of spin. • I = (mass).(radius).(spin rate) • The angular momentum in a system stays fixed, unless acted on by an outside force. • An orbiting bod ...
... • Angular momentum is a measure of the spin of an object. It depends on the mass that is spinning, on the distance from the rotation axis, and on the rate of spin. • I = (mass).(radius).(spin rate) • The angular momentum in a system stays fixed, unless acted on by an outside force. • An orbiting bod ...
MATH10222, Chapter 4: Frames of Reference 1 Motion relative to a
... acted upon by a gravitational acceleration. This is commonly the case in non-inertial frames of reference where the ‘observer’ and the particle are both in free fall. For example, consider a particle P of mass m in a uniform gravitational field. The force acting on P comes from its weight F = −mgk i ...
... acted upon by a gravitational acceleration. This is commonly the case in non-inertial frames of reference where the ‘observer’ and the particle are both in free fall. For example, consider a particle P of mass m in a uniform gravitational field. The force acting on P comes from its weight F = −mgk i ...
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... Conservation of Momentum • The drawing shows a collision between two pucks on an air hockey table. Puck A has a mass of 0.25 kg and is moving along the x-axis with a velocity of 5.5 m/s. It makes a collision with puck B, which has a mass of 0.5 kg and is initially at rest. After the collision, the ...
... Conservation of Momentum • The drawing shows a collision between two pucks on an air hockey table. Puck A has a mass of 0.25 kg and is moving along the x-axis with a velocity of 5.5 m/s. It makes a collision with puck B, which has a mass of 0.5 kg and is initially at rest. After the collision, the ...
Solving Momentum Problems
... decrease the momentum of a system. If the force is applied in the direction of motion, the momentum is increased, if opposite the motion, momentum is decreased. If the force is at an angle to the direction of motion it will change the net momentum in two or three dimensions. Collisions and Explosion ...
... decrease the momentum of a system. If the force is applied in the direction of motion, the momentum is increased, if opposite the motion, momentum is decreased. If the force is at an angle to the direction of motion it will change the net momentum in two or three dimensions. Collisions and Explosion ...
Momentum
... To conserve both energy and momentum, cue ball stops dead, and 8-ball takes off with vcue ...
... To conserve both energy and momentum, cue ball stops dead, and 8-ball takes off with vcue ...
Lecture-11-10
... which is the stopping distance greater? Use the work-energy theorem: W = KE. The ball with less mass has the greater speed, and thus the greater KE. In order to remove that KE, work must be done, where W = Fd. Because the force is the same in both cases, the distance needed to stop the less massive ...
... which is the stopping distance greater? Use the work-energy theorem: W = KE. The ball with less mass has the greater speed, and thus the greater KE. In order to remove that KE, work must be done, where W = Fd. Because the force is the same in both cases, the distance needed to stop the less massive ...
Chapter 10
... the tangential velocity depends on the distance, r, from the axis of rotation, we can substitute vi = wi r. The ...
... the tangential velocity depends on the distance, r, from the axis of rotation, we can substitute vi = wi r. The ...
From last time… - University of Wisconsin–Madison
... Force, weight, and mass F ma F (kg)(m/s 2 ) kg m /s2 Newton • 1 Newton = force required to accelerate a 1 kg mass at 1 m/s2. But then what is weight? —Weight is a force, measured in Newton’s —It is the net force of gravity on a body. ...
... Force, weight, and mass F ma F (kg)(m/s 2 ) kg m /s2 Newton • 1 Newton = force required to accelerate a 1 kg mass at 1 m/s2. But then what is weight? —Weight is a force, measured in Newton’s —It is the net force of gravity on a body. ...
Ch 8.3 - 8.5 chap 8.3
... game continues. If we assume that each throw involves the same amount of push, then how many throws will the game last? ...
... game continues. If we assume that each throw involves the same amount of push, then how many throws will the game last? ...
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.