ME33: Fluid Flow Lecture 1: Information and Introduction
... and the beamer class (http://latex-beamer.sourceforge.net/), but were translated to PowerPoint for wider dissemination by McGraw-Hill. ...
... and the beamer class (http://latex-beamer.sourceforge.net/), but were translated to PowerPoint for wider dissemination by McGraw-Hill. ...
Chapter 5 Forces in Two Dimensions
... How do we find the resultant in multiple dimensions? 1. Pythagorean Theorem- if the two vectors are at right angles R 2= A 2 + B 2 2. At an angle other than 90° a. Law of Cosines R2 = A2 +B2 –2AB cos b. Law of Sines R= A = B ...
... How do we find the resultant in multiple dimensions? 1. Pythagorean Theorem- if the two vectors are at right angles R 2= A 2 + B 2 2. At an angle other than 90° a. Law of Cosines R2 = A2 +B2 –2AB cos b. Law of Sines R= A = B ...
Dynamics - Slides - Chapter15 - GearTeam
... momentum. Conservation of linear momentum is often applied when particles collide or interact. When particles impact, only impulsive forces cause a change of linear momentum. The sledgehammer applies an impulsive force to the stake. The weight of the stake is considered negligible, or non-impulsive, ...
... momentum. Conservation of linear momentum is often applied when particles collide or interact. When particles impact, only impulsive forces cause a change of linear momentum. The sledgehammer applies an impulsive force to the stake. The weight of the stake is considered negligible, or non-impulsive, ...
PHYS 1443 – Section 501 Lecture #1
... In a crash test, an automobile of mass 1500kg collides with a wall. The initial and final velocities of the automobile are vi=-15.0i m/s and vf=2.60i m/s. If the collision lasts for 0.150 seconds, what would be the impulse caused by the collision and the average force exerted on the automobile? Let’ ...
... In a crash test, an automobile of mass 1500kg collides with a wall. The initial and final velocities of the automobile are vi=-15.0i m/s and vf=2.60i m/s. If the collision lasts for 0.150 seconds, what would be the impulse caused by the collision and the average force exerted on the automobile? Let’ ...
Name: Newton`s First Law of Motion: The Law of Inertia “An object at
... To walk, _______________ exert a _______________ push on the ground (the action force) which causes the _______________ to push you _______________ (the reaction force). The _______________ you exert on the _______________ doesn’t cause it to _______________ because the Earth has a huge amount of __ ...
... To walk, _______________ exert a _______________ push on the ground (the action force) which causes the _______________ to push you _______________ (the reaction force). The _______________ you exert on the _______________ doesn’t cause it to _______________ because the Earth has a huge amount of __ ...
6 ppt Momentum and Collisions
... 6.2 Conservation of Momentum Momentum is Conserved Now we will consider the momentum of two or more objects interacting. Below ball A is moving towards a stationary ball, B. Once they collide, ball A becomes stationary and ball B continues at the velocity A was at. This collision caused all of ball ...
... 6.2 Conservation of Momentum Momentum is Conserved Now we will consider the momentum of two or more objects interacting. Below ball A is moving towards a stationary ball, B. Once they collide, ball A becomes stationary and ball B continues at the velocity A was at. This collision caused all of ball ...
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.