A point particle moves in space under the influence of a force derivable from a generalized potential of the form U(r, v) = V (r) + σ · L, where r is the radius vector from a fixed point, L is the angular momentum about that point, and σ is the fixed vector in space. Find the components of the force on the particle in spherical polar coordinates, on the basis of the equation for the components of the generalized force Qj: Qj = −∂U/∂qj + d/dt (∂U/∂q˙j)
A point particle moves in space under the influence of a force derivable from a generalized potential of the form U(r, v) = V (r) + σ · L, where r is the radius vector from a fixed point, L is the angular momentum about that point, and σ is the fixed vector in space. Find the components of the force on the particle in spherical polar coordinates, on the basis of the equation for the components of the generalized force Qj: Qj = −∂U/∂qj + d/dt (∂U/∂q˙j)
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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A point particle moves in space under the influence of a force derivable
from a generalized potential of the form
U(r, v) = V (r) + σ · L,
where r is the radius vector from a fixed point, L is the angular momentum
about that point, and σ is the fixed vector in space.
Find the components of the force on the particle in spherical polar coordinates, on the basis of the equation for the components of the generalized force Qj:
Qj = −∂U/∂qj + d/dt (∂U/∂q˙j)
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