A particle A with mass m attached to one end of a spring of constant k and natural length 1,. The other end of the spring is fixed at a point F in the vertical direction (O y) at a distance h from the origin O. The particle moves without friction on a support belonging to the horizontal direction (Ox) (see figure below). If we assume that x represents the coordinate of the particle in the (Ox) direction: a a) Determine the differential work dW of the conservative forces applied to the particle. b) Deduce the first derivative d of the potential energy U of the particle as function of h, x and l,. c) Find the possible equilibrium positions. lellll
A particle A with mass m attached to one end of a spring of constant k and natural length 1,. The other end of the spring is fixed at a point F in the vertical direction (O y) at a distance h from the origin O. The particle moves without friction on a support belonging to the horizontal direction (Ox) (see figure below). If we assume that x represents the coordinate of the particle in the (Ox) direction: a a) Determine the differential work dW of the conservative forces applied to the particle. b) Deduce the first derivative d of the potential energy U of the particle as function of h, x and l,. c) Find the possible equilibrium positions. lellll
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Transcribed Image Text:A particle A with mass m attached to one end of a spring of constant k and natural length I,. The other
end of the spring is fixed at a point F in the vertical direction (O y) at a distance h from the origin O. The
particle moves without friction on a support belonging to the horizontal direction (Ox) (see figure below).
If we assume that x represents the coordinate of the particle in the (Ox) direction:
a) Determine the differential work dW of the conservative forces applied to the particle.
b) Deduce the first derivative d of the potential energy U of the particle as function of h, x and lg-
c) Find the possible equilibrium positions.
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