b 8. The potential energy of a particle in a certain field has the form U=3, where a and b are positive constants, r is the distance from the centre of the field. Find: (SHOW YOUR WORK) a. the value of ro corresponding to the equilibrium position of the particle; examine whether this position is steady. b. the maximum magnitude of the attraction force; draw the plots U(r) and Fr(r) (the projections of the force on the radius vector r).

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter14: Data Mining
Section14.2: Classification Methods
Problem 3P
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8. The potential energy of a particle in a certain field has the form U=3, where a and b are
positive constants, r is the distance from the centre of the field. Find: (SHOW YOUR WORK)
a. the value of ro corresponding to the equilibrium position of the particle; examine whether this
position is steady.
b. the maximum magnitude of the attraction force; draw the plots U(r) and Fr(r) (the projections
of the force on the radius vector r).
Transcribed Image Text:b 8. The potential energy of a particle in a certain field has the form U=3, where a and b are positive constants, r is the distance from the centre of the field. Find: (SHOW YOUR WORK) a. the value of ro corresponding to the equilibrium position of the particle; examine whether this position is steady. b. the maximum magnitude of the attraction force; draw the plots U(r) and Fr(r) (the projections of the force on the radius vector r).
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