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CollisionPhysics
... We understand how forces affect linear velocity We understand how forces affect angular velocity We can calculate change in velocity, position, angular velocity and orientation based on the sum of forces (and moment of inertia/center of mass) ...
... We understand how forces affect linear velocity We understand how forces affect angular velocity We can calculate change in velocity, position, angular velocity and orientation based on the sum of forces (and moment of inertia/center of mass) ...
PRE-LAB PREPARATION SHEET FOR LAB 8:
... 3. Open the experiment file called L07.2-2 Impulse and Momentum. This experiment has been set up to record force and motion data at 50 data points per second. Because the positive direction is toward the right in the diagram above, the software has been set up to record a push on the force probe as ...
... 3. Open the experiment file called L07.2-2 Impulse and Momentum. This experiment has been set up to record force and motion data at 50 data points per second. Because the positive direction is toward the right in the diagram above, the software has been set up to record a push on the force probe as ...
PowerPoint Presentation - Physics 121, Lecture 12.
... • We conclude that the motion of the center of mass is only determined by the external forces. Forces exerted by one part of the system on other parts of the system are called internal forces. According to Newton’s third law, the sum of all internal forces cancel out (for each interaction there are ...
... • We conclude that the motion of the center of mass is only determined by the external forces. Forces exerted by one part of the system on other parts of the system are called internal forces. According to Newton’s third law, the sum of all internal forces cancel out (for each interaction there are ...
PowerPoint Presentation - ABOUT TEAL
... Parallel Axis Theorum Very simple way to find moment of inertia for a large number of strange axis locations. ...
... Parallel Axis Theorum Very simple way to find moment of inertia for a large number of strange axis locations. ...
the full course notes are available here in book form for downloading
... Proof: Because the dot product is rotationally invariant, we apply a rotation matrix R to our system of Cartesian axes such that the matrices a and b now lie in the x-y plane; a0 = (a1 , a2 , 0) , ...
... Proof: Because the dot product is rotationally invariant, we apply a rotation matrix R to our system of Cartesian axes such that the matrices a and b now lie in the x-y plane; a0 = (a1 , a2 , 0) , ...
Test Problems for Oscillatory motion (L9). Make sure you
... back to one platform. The time for the forward and return motion is ...
... back to one platform. The time for the forward and return motion is ...
Problem: Average Velocity (1988)
... 13. A 5-meter uniform plank of mass 100 kilograms rests on the top of a building with 2 meters extended over the edge as shown above. How far can a 50-kilogram person venture past the edge of the building on the plank before the plank just begins to tip? ...
... 13. A 5-meter uniform plank of mass 100 kilograms rests on the top of a building with 2 meters extended over the edge as shown above. How far can a 50-kilogram person venture past the edge of the building on the plank before the plank just begins to tip? ...
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.