MATH 231 Kepler`s Second Law
... magnitude of the cross product of the radius vector with the velocity vector. But the cross product of the radius vector with the radial component of the velocity will be zero, since these are parallel. On the other hand, the magnitude of the tangential component of the velocity vector is easily see ...
... magnitude of the cross product of the radius vector with the velocity vector. But the cross product of the radius vector with the radial component of the velocity will be zero, since these are parallel. On the other hand, the magnitude of the tangential component of the velocity vector is easily see ...
Bottle Flip/ Angular Momentum
... How can you tell the difference between a hardboiled egg and a raw egg? (without cracking them open) ...
... How can you tell the difference between a hardboiled egg and a raw egg? (without cracking them open) ...
9-4,5,6,7
... Problem 26:In a common but dangerous prank, a chair is pulled away as a person is moving downward to sit on it, causing the victim to land hard on the floor. Suppose the victim falls by 0.50 m, the mass that moves downward is 70 kg, and the collision on the floor lasts 0.082 s. What are the magnitud ...
... Problem 26:In a common but dangerous prank, a chair is pulled away as a person is moving downward to sit on it, causing the victim to land hard on the floor. Suppose the victim falls by 0.50 m, the mass that moves downward is 70 kg, and the collision on the floor lasts 0.082 s. What are the magnitud ...
Intro to Momentum
... • Momentum is a vector. • The direction of momentum is the same as the direction of the velocity of the object. • Unit: kg m/s or N s • “Inertia in Motion” ...
... • Momentum is a vector. • The direction of momentum is the same as the direction of the velocity of the object. • Unit: kg m/s or N s • “Inertia in Motion” ...
Rotational Mechanics
... and goal-line runner," Tomlin said. "And that's been solid for us. We don't pretend that it's something mystical. We've just got to formulate good plans, call good plays and execute them." ...
... and goal-line runner," Tomlin said. "And that's been solid for us. We don't pretend that it's something mystical. We've just got to formulate good plans, call good plays and execute them." ...
lecture23
... Example: A uniform stick of mass M and length D is pivoted at the center. A bullet of mass m is shot through the stick at a point halfway between the pivot and the end. The initial speed of the bullet is v1 and its final speed is v2. What is the angular speed ω of the stick after the collision? Ext ...
... Example: A uniform stick of mass M and length D is pivoted at the center. A bullet of mass m is shot through the stick at a point halfway between the pivot and the end. The initial speed of the bullet is v1 and its final speed is v2. What is the angular speed ω of the stick after the collision? Ext ...
Forces and Motion Study Guide
... 16. Remember that mass is a measure of an object’s inertia. More mass= more inertia 17. Read over the different pressure experiments. Have a basic understanding of them ...
... 16. Remember that mass is a measure of an object’s inertia. More mass= more inertia 17. Read over the different pressure experiments. Have a basic understanding of them ...
CH 10
... System of particles: here we deviate again from the notion of a rigid body introduced in chapter 9. A system of particles is a collection of N particles of mass m1, m2, … mN but it is not necessarily rigid. For example a group of meteorites traveling in space, although not rigid, is a system of par ...
... System of particles: here we deviate again from the notion of a rigid body introduced in chapter 9. A system of particles is a collection of N particles of mass m1, m2, … mN but it is not necessarily rigid. For example a group of meteorites traveling in space, although not rigid, is a system of par ...
PHYS4330 Theoretical Mechanics HW #1 Due 6 Sept 2011
... where τ is a positive constant, and starts from rest at x = 0 and t = 0. Find the velocity v(t) = ẋ(t) and position x(t) as functions of time. Also find the velocity v(t) for times t � τ . (2) A particle of mass m moves in two dimensions according to plane polar coordinates r and φ. It is acted on ...
... where τ is a positive constant, and starts from rest at x = 0 and t = 0. Find the velocity v(t) = ẋ(t) and position x(t) as functions of time. Also find the velocity v(t) for times t � τ . (2) A particle of mass m moves in two dimensions according to plane polar coordinates r and φ. It is acted on ...
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.