Physics 207: Lecture 2 Notes
... Identify forces and draw a Free Body Diagram Begin to solve 1D and 2D problems with forces in equilibrium and non-equilibrium (i.e., acceleration) using Newton’s 1st and 2nd laws. ...
... Identify forces and draw a Free Body Diagram Begin to solve 1D and 2D problems with forces in equilibrium and non-equilibrium (i.e., acceleration) using Newton’s 1st and 2nd laws. ...
Mechanics
... eijk = 0, any i, j, k the same eijk = 1, if i, j, k an even permutation of 1, 2, 3 eijk = -1, if i, j, k an odd permutation of 1, 2, 3 ...
... eijk = 0, any i, j, k the same eijk = 1, if i, j, k an even permutation of 1, 2, 3 eijk = -1, if i, j, k an odd permutation of 1, 2, 3 ...
Force
... • What keeps a planet rotating and orbiting the Sun? — Conservation of angular momentum • Where do objects get their energy? — Conservation of energy: Energy cannot be created or destroyed but only transformed from one type to another. — Energy comes in three basic types: kinetic, ...
... • What keeps a planet rotating and orbiting the Sun? — Conservation of angular momentum • Where do objects get their energy? — Conservation of energy: Energy cannot be created or destroyed but only transformed from one type to another. — Energy comes in three basic types: kinetic, ...
Potential Energy - McMaster Physics and Astronomy
... ball has a mass of 50g. Determine the average force on the ball during the collision with the club, if the collision lasted 0.01 s. ...
... ball has a mass of 50g. Determine the average force on the ball during the collision with the club, if the collision lasted 0.01 s. ...
Introduction to Physics I
... Weekly homework/question set: 10+ discussion and/or numerical problems taken from the textbook and online homework systems. Example: A bullet of mass m = 0.0050 kg and speed v = 266 m/s is fired into a wooden block of mass M = 3.2 kg sitting on the bottom of an inclined plane making an angle of 30 d ...
... Weekly homework/question set: 10+ discussion and/or numerical problems taken from the textbook and online homework systems. Example: A bullet of mass m = 0.0050 kg and speed v = 266 m/s is fired into a wooden block of mass M = 3.2 kg sitting on the bottom of an inclined plane making an angle of 30 d ...
IGCSE-14-Momentum
... total initial momentum = -12000 kg m/s Momentum is conserved in the collision so total momentum after collision = -12000 kg m/s total momentum = total mass x velocity -12000 kg m/s = 3000 kg x v -12000 ÷ 3000 = v common velocity = - 4 m/s The lorry/car combination will move in the original direction ...
... total initial momentum = -12000 kg m/s Momentum is conserved in the collision so total momentum after collision = -12000 kg m/s total momentum = total mass x velocity -12000 kg m/s = 3000 kg x v -12000 ÷ 3000 = v common velocity = - 4 m/s The lorry/car combination will move in the original direction ...
Tutorial 7
... (ii) In practice, it is essential for designers to build in a considerable safety margin. Each carriage and its passengers has a total mass 800 kg. At the top of the loop, the carriage travels at 17 m s-1. Calculate the force that the track exerts on the carriage at the top of the loop. (b) For the ...
... (ii) In practice, it is essential for designers to build in a considerable safety margin. Each carriage and its passengers has a total mass 800 kg. At the top of the loop, the carriage travels at 17 m s-1. Calculate the force that the track exerts on the carriage at the top of the loop. (b) For the ...
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.