Monday, October 25, 2004
... The total external force exerted on the system of total mass M causes the center of mass to move at an acceleration given by a F / M as if all the mass of the system is concentrated on the center of mass. Consider a massless rod with two balls attached at either end. The position of the center o ...
... The total external force exerted on the system of total mass M causes the center of mass to move at an acceleration given by a F / M as if all the mass of the system is concentrated on the center of mass. Consider a massless rod with two balls attached at either end. The position of the center o ...
Chapter 06 Notes
... – New time is about 0.15 seconds – New force is about 9.8 kN – About one order of magnitude below the values for an unprotected collision ...
... – New time is about 0.15 seconds – New force is about 9.8 kN – About one order of magnitude below the values for an unprotected collision ...
Momentum and Conservation of Momentum in One Dimension
... In any collision or explosion, the total momentum is always conserved. This principle proves to be very useful in predicting what will happen when objects collide or explode. Actually, the principle of the Conservation of Momentum is a direct consequence of Newton’s Third Law of Motion that we learn ...
... In any collision or explosion, the total momentum is always conserved. This principle proves to be very useful in predicting what will happen when objects collide or explode. Actually, the principle of the Conservation of Momentum is a direct consequence of Newton’s Third Law of Motion that we learn ...
Rotational Motion
... What is “Inertia”? Remember, in translational motion, an object’s inertia is its “tendency” to want to either remain at rest or moving at a constant velocity. An object’s mass is a direct measure of its inertia. In rotational motion, the individual particles have masses at different distances from ...
... What is “Inertia”? Remember, in translational motion, an object’s inertia is its “tendency” to want to either remain at rest or moving at a constant velocity. An object’s mass is a direct measure of its inertia. In rotational motion, the individual particles have masses at different distances from ...
Lecture 7: Rotational Motion and the Law of Gravity
... Dq = qf - qi in a time interval Dt = tf – ti ...
... Dq = qf - qi in a time interval Dt = tf – ti ...
Physics – BC Revision Guide
... of an object with Velocity (after the collision) = 60,000The ÷ 20,000 = 3 m/s will give way during a collision. 12. aHow momentum be calculated? lot can of momentum. metal of the car will dent, bend and foldanduring a collision 13. What is the total momentum after explosion equal to? which increases ...
... of an object with Velocity (after the collision) = 60,000The ÷ 20,000 = 3 m/s will give way during a collision. 12. aHow momentum be calculated? lot can of momentum. metal of the car will dent, bend and foldanduring a collision 13. What is the total momentum after explosion equal to? which increases ...
Ch. 2
... An object at rest will remain at rest, and an object in motion will remain in motion at a constant velocity, unless an unbalanced force acts upon it. ...
... An object at rest will remain at rest, and an object in motion will remain in motion at a constant velocity, unless an unbalanced force acts upon it. ...
Motion and Forces study Guide
... 20. A push or pull is an example of a(an) ____________________. 21. The type of force measured by a grocery store spring scale is ____________________. 22. The sum of all the forces acting on an object is called the _________________________. 23. If the forces acting on an object produce a net force ...
... 20. A push or pull is an example of a(an) ____________________. 21. The type of force measured by a grocery store spring scale is ____________________. 22. The sum of all the forces acting on an object is called the _________________________. 23. If the forces acting on an object produce a net force ...
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.