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Honors Physics Unit 5 Notes
... When a rigid object rotates about a fixed axis in a given time interval, every portion on the object rotates through the same angle in a given time interval and has the same angular speed and the same angular acceleration ...
... When a rigid object rotates about a fixed axis in a given time interval, every portion on the object rotates through the same angle in a given time interval and has the same angular speed and the same angular acceleration ...
FE6
... inertia. Note also that a body does not have a unique moment of inertia; the value of I depends on the location of the axis of rotation. In general a rigid body (e.g. a boomerang) has both rotational and translational motion. ...
... inertia. Note also that a body does not have a unique moment of inertia; the value of I depends on the location of the axis of rotation. In general a rigid body (e.g. a boomerang) has both rotational and translational motion. ...
9.1 Impulse and Momentum Ancient Babylonians described
... acceleration is not the centripetal acceleration in this case, since centripetal acceleration applies only to uniform circular motion, where the spin is not increasing or decreasing. ...
... acceleration is not the centripetal acceleration in this case, since centripetal acceleration applies only to uniform circular motion, where the spin is not increasing or decreasing. ...
Example - mrdsample
... on the object (slope of U(x) = 0) it must either possess only potential energy and be at rest or, it also possesses kinetic energy and must be moving at a constant velocity. x4 is a position of unstable equilibrium. If the object is displaced ever so slightly from this position, the internal forces ...
... on the object (slope of U(x) = 0) it must either possess only potential energy and be at rest or, it also possesses kinetic energy and must be moving at a constant velocity. x4 is a position of unstable equilibrium. If the object is displaced ever so slightly from this position, the internal forces ...
ROTATION
... and KE of rotation which means that the translational motion takes only a fraction of the total KE. (The value of that fraction depends on the shape of the body, but not its size.) At a given distance down the slope, the speed of the centre of gravity must be less for the rolling object. • A sphere ...
... and KE of rotation which means that the translational motion takes only a fraction of the total KE. (The value of that fraction depends on the shape of the body, but not its size.) At a given distance down the slope, the speed of the centre of gravity must be less for the rolling object. • A sphere ...
Chapter 6
... of the Earth-ball system is conserved but not the momentum of just the ball. The Earth’s large mass allows it to acquire an equal and opposite momentum to the ball without a measurable velocity. Momentum is only conserved for systems that have no external forces acting on them. There is an external ...
... of the Earth-ball system is conserved but not the momentum of just the ball. The Earth’s large mass allows it to acquire an equal and opposite momentum to the ball without a measurable velocity. Momentum is only conserved for systems that have no external forces acting on them. There is an external ...
Linear Momentum and Collisions
... D E = D K + D U = -fkd if friction forces are doing work on the system. The total amount of energy in the system is still constant, but the change in mechanical energy goes into “internal energy” or heat. ...
... D E = D K + D U = -fkd if friction forces are doing work on the system. The total amount of energy in the system is still constant, but the change in mechanical energy goes into “internal energy” or heat. ...
with momentum - Cloudfront.net
... Momentum is a vector, and the direction of the momentum is the same as the velocity. ...
... Momentum is a vector, and the direction of the momentum is the same as the velocity. ...
CPO Skill and Practice
... 12. Show that the relationship between impulse and the change in momentum is another way of stating Newton's second law of motion. 13. Mats in a gym, airbags, and padding in sports uniforms are used to protect people from being injured. Explain why these soft objects used instead of rigid objects us ...
... 12. Show that the relationship between impulse and the change in momentum is another way of stating Newton's second law of motion. 13. Mats in a gym, airbags, and padding in sports uniforms are used to protect people from being injured. Explain why these soft objects used instead of rigid objects us ...
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.