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In mathematics and physics, the right-hand rule is a convention and a mnemonic, utilized to define the orientation of axes in three-dimensional space and to determine the direction of the cross product of two vectors, as well as to establish the direction of the force on a current-carrying conductor in a magnetic field.
The angular momentum of m is proportional to the perpendicular component v ⊥ of the velocity, or equivalently, to the perpendicular distance r ⊥ from the origin. Angular momentum is a vector quantity (more precisely, a pseudovector) that represents the product of a body's rotational inertia and rotational velocity (in radians/sec) about a ...
For reference and background, two closely related forms of angular momentum are given. In classical mechanics, the orbital angular momentum of a particle with instantaneous three-dimensional position vector x = (x, y, z) and momentum vector p = (p x, p y, p z), is defined as the axial vector = which has three components, that are systematically given by cyclic permutations of Cartesian ...
The left-hand side is the time derivative of the momentum, and the right-hand side is the force, represented in terms of the potential energy. [9]: 737 Landau and Lifshitz argue that the Lagrangian formulation makes the conceptual content of classical mechanics more clear than starting with Newton's laws. [26]
In physics, angular mechanics is a field of mechanics which studies rotational movement. It studies things such as angular momentum , angular velocity , and torque . It also studies more advanced things such as Coriolis force [ 1 ] and Angular aerodynamics .
The greater the angular momentum of the spinning object such as a top, the greater its tendency to continue to spin. The angular momentum of a rotating body is proportional to its mass and to how rapidly it is turning. In addition, the angular momentum depends on how the mass is distributed relative to the axis of rotation: the further away the ...
The angular momentum J is the sum of an orbital angular momentum L and a spin S. The relationship between orbital angular momentum L, the position operator r and the linear momentum (orbit part) p is = so L's component in the direction of p is zero. Thus, helicity is just the projection of the spin onto the direction of linear momentum.
The angular momentum of the very large number of charged particles that make up a current therefore is: = (), where ρ is the mass density of the moving particles. By convention the direction of the cross product is given by the right-hand rule .