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 Cartesian 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 Cartesian 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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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 Cartesian 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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