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The torque caused by the two opposing forces F g and −F g causes a change in the angular momentum L in the direction of that torque (since torque is the time derivative of angular momentum). This causes the top to precess .
The torque caused by the two opposing forces F g and −F g causes a change in the angular momentum L in the direction of that torque. This causes the top to precess . Static equilibrium
The angular momentum L is a pseudovector, but N is an "ordinary" (polar) vector, and is therefore invariant under inversion. The resultant N tot for a multiparticle system has the physical visualization that, whatever the complicated motion of all the particles are, they move in such a way that the system's COM moves in a straight line. This ...
The quantum-mechanical counterparts of these objects share the same relationship: = where r is the quantum position operator, p is the quantum momentum operator, × is cross product, and L is the orbital angular momentum operator. L (just like p and r) is a vector operator (a vector whose components are operators), i.e. = (,,) where L x, L y, L ...
In an inertial frame of reference (subscripted "in"), Euler's second law states that the time derivative of the angular momentum L equals the applied torque: = For point particles such that the internal forces are central forces, this may be derived using Newton's second law.
In general, the rate of change of the angular momentum L equals the net torque r × F [8] = ˙ + ˙ = + = , The first term m v × v is always zero, because the vector cross product is always zero for any two vectors pointing in the same or opposite directions.
The torque caused by the normal force – F g and the weight of the top causes a change in the angular momentum L in the direction of that torque. This causes the top to precess. Precession is the change of angular velocity and angular momentum produced by a torque.
A diagram of angular momentum. Showing angular velocity (Scalar) and radius. 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.