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SST
... 4. Give reasons- Why India is often referred to as a sub-continent? 5. The tropic of cancer runs almost half way through the country. What does this imply? 6. Mention the role of Security of council of union nation. 7. Describe the development (expansion) of democracy after the end of Second World W ...
... 4. Give reasons- Why India is often referred to as a sub-continent? 5. The tropic of cancer runs almost half way through the country. What does this imply? 6. Mention the role of Security of council of union nation. 7. Describe the development (expansion) of democracy after the end of Second World W ...
Physics 7B - AB Lecture 7 May 15 Angular Momentum Model
... Net Angular Impulseext = ∆ L = ave.ext x ∆ t = 0 Angular Momentum Lskater is conserved! Initial L initial, skater = I initial, skater initial Final L final, skater = I final, skater final I initial, skater initial = I final, skater final Remember I initial, skater > I final, skater So when th ...
... Net Angular Impulseext = ∆ L = ave.ext x ∆ t = 0 Angular Momentum Lskater is conserved! Initial L initial, skater = I initial, skater initial Final L final, skater = I final, skater final I initial, skater initial = I final, skater final Remember I initial, skater > I final, skater So when th ...
Orbits in a central force field: Bounded orbits
... force field, l = mr2 θ̇ remains invariant even though r and θ̇ vary with time (see Fig. 2). Similarly E = mṙ2 /2 + l2 /(2mr2 )+V (r) remains a constant even though ṙ and r and hence mṙ2 /2 and V (r) + l2 /(2mr2 ) each varies with time (see Fig. 3). Lagrange’s equations are two second order Ordina ...
... force field, l = mr2 θ̇ remains invariant even though r and θ̇ vary with time (see Fig. 2). Similarly E = mṙ2 /2 + l2 /(2mr2 )+V (r) remains a constant even though ṙ and r and hence mṙ2 /2 and V (r) + l2 /(2mr2 ) each varies with time (see Fig. 3). Lagrange’s equations are two second order Ordina ...
1. Center of mass, linear momentum, and collisions
... Intuition tells you that you can shoot at an object to either push it forward. Perhaps less familiar to you is the idea that you can slow down an object by shooting at the object to slow it down. Let's quantify this intuition with some calculations. a.) (4 points) A car of mass M moves to the right ...
... Intuition tells you that you can shoot at an object to either push it forward. Perhaps less familiar to you is the idea that you can slow down an object by shooting at the object to slow it down. Let's quantify this intuition with some calculations. a.) (4 points) A car of mass M moves to the right ...
File - Physical Science
... Space surrounding objects with mass or objects which are electrically charged or have magnetic properties. Non-contact forces, on the other hand, are forces that occur when the fields around objects (e.g. gravitational field, electric field, or magnetic field) interact with another field located aro ...
... Space surrounding objects with mass or objects which are electrically charged or have magnetic properties. Non-contact forces, on the other hand, are forces that occur when the fields around objects (e.g. gravitational field, electric field, or magnetic field) interact with another field located aro ...
Systems of Particles - University of Central Florida
... m1 = m2 – the particles exchange velocities – When a very heavy particle collides head-on with a very light one initially at rest, the heavy particle continues in motion unaltered and the light particle rebounds with a speed of about twice the initial speed of the heavy particle – When a very light ...
... m1 = m2 – the particles exchange velocities – When a very heavy particle collides head-on with a very light one initially at rest, the heavy particle continues in motion unaltered and the light particle rebounds with a speed of about twice the initial speed of the heavy particle – When a very light ...
New Phenomena: Recent Results and Prospects from the Fermilab
... time t. A better estimate takes into account that there is friction in the system. This gives a torque (due to the axel) we’ll call this tfric. What is this better estimate of the moment of Inertia? Physics 218, Lecture XVII ...
... time t. A better estimate takes into account that there is friction in the system. This gives a torque (due to the axel) we’ll call this tfric. What is this better estimate of the moment of Inertia? Physics 218, Lecture XVII ...
ESCI 342 – Atmospheric Dynamics I Lesson 1 – Vectors and Vector
... The choice of which coordinate system to use (Cartesian or spherical) is strictly up to us. They both have advantages and disadvantages. Spherical coordinates are attractive because the Earth is spherical. However, the del operator is more cumbersome in spherical coordinates, and also, giving posi ...
... The choice of which coordinate system to use (Cartesian or spherical) is strictly up to us. They both have advantages and disadvantages. Spherical coordinates are attractive because the Earth is spherical. However, the del operator is more cumbersome in spherical coordinates, and also, giving posi ...
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.