Rotational motion is all around us
... a. Rotational motion is all around us. Earth rotates about its axis. Wheels, gears, propellers, motors, the drive shaft in a car, a CD in its player, a pirouetting ice skater, all rotate. b. In this chapter, we consider rotation about an axis that is fixed in space, as in a merry-go-round, or about ...
... a. Rotational motion is all around us. Earth rotates about its axis. Wheels, gears, propellers, motors, the drive shaft in a car, a CD in its player, a pirouetting ice skater, all rotate. b. In this chapter, we consider rotation about an axis that is fixed in space, as in a merry-go-round, or about ...
Class Notes - St. Bonaventure University
... measured accurately with a meter stick. We report only significant digits—those whose values we feel sure are accurately measured. There are two basic rules: (i) the last significant digit is the first uncertain digit and (ii) when combining numbers, the result has no more significant digits than th ...
... measured accurately with a meter stick. We report only significant digits—those whose values we feel sure are accurately measured. There are two basic rules: (i) the last significant digit is the first uncertain digit and (ii) when combining numbers, the result has no more significant digits than th ...
Vectors
... components. I.e., Put the vector into i,j,k notation if it’s not already. 2nd: Add each component of both vectors independently of the other components. ...
... components. I.e., Put the vector into i,j,k notation if it’s not already. 2nd: Add each component of both vectors independently of the other components. ...
Force Vectors 1
... • force: action of one body on another; characterized by its point of application, magnitude, line of action, and sense. ...
... • force: action of one body on another; characterized by its point of application, magnitude, line of action, and sense. ...
205-wikarta-KULIAH I MEKTEK TI
... • Determine the components of the resultant by adding the corresponding force components. • Calculate the magnitude and direction. Ry 14.3 N tan ...
... • Determine the components of the resultant by adding the corresponding force components. • Calculate the magnitude and direction. Ry 14.3 N tan ...
Laws of Motion Conservation Laws Gravity
... • Momentum = mass × velocity. • A net force changes momentum, which generally means an acceleration (change in velocity). • The rotational momentum of a spinning or orbiting object is known as angular momentum. ...
... • Momentum = mass × velocity. • A net force changes momentum, which generally means an acceleration (change in velocity). • The rotational momentum of a spinning or orbiting object is known as angular momentum. ...
Chapter 1 - UniMAP Portal
... Today’s Objectives: Students will be able to: a) Describe the motion of a particle traveling along a curved path. b) Relate kinematic quantities in terms of the rectangular components of the vectors. ...
... Today’s Objectives: Students will be able to: a) Describe the motion of a particle traveling along a curved path. b) Relate kinematic quantities in terms of the rectangular components of the vectors. ...
Lecture 20.TorqueRot..
... Rotational Inertia for Uniform, Rigid Objects of Various Shapes and Total Mass M ...
... Rotational Inertia for Uniform, Rigid Objects of Various Shapes and Total Mass M ...
Document
... You are driving at high speed when you see your evil twin, driving an identical car, coming directly toward you. You both slam on your brakes, but it's too late to stop and there is about to be a collision. At the last instant, you spot a very solid immovable object by the side of the road. Which is ...
... You are driving at high speed when you see your evil twin, driving an identical car, coming directly toward you. You both slam on your brakes, but it's too late to stop and there is about to be a collision. At the last instant, you spot a very solid immovable object by the side of the road. Which is ...
Vector Addition Notes
... vector quantity is a number or measurement which has both a magnitude (size) and a direction—examples: velocity, force, accel. ...
... vector quantity is a number or measurement which has both a magnitude (size) and a direction—examples: velocity, force, accel. ...
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.