PROBLEM 24 - 0586: a system whose behavior A free harmonic oscillator (FHO) is can be described by a second- order, linear differential equation of the form: ÿ = -Ay(t) (1) where A is a positive constant. Two FHO systems are a spring-mass system and an LC electric circuit: Y=dy/di y(t) Spring- x- FHO V displacement =velocit q-charge in coulombs mass LC i circuit =curren in ampere Given the initial conditions y(0) = Yo and y(0) = zo, write a FORTRAN program that uses the modified Euler method to simulate this system from t = 0 to t %3D = tf. LINEAR SPRING OF STIFFNESS K L C INDUCTOR (HENRYS) CAPACITOR (FARADS) M MASS

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PROBLEM 24 - 0586:
A free harmonic oscillator (FHO) is
a system whose behavior
can be described by a second-
order, linear differential
equation of the form:
= -Ay(t)
(1)
where A is a positive constant.
Two FHO systems are a
spring-mass system and an LC
electric circuit:
Y=dy/dt
y(t)
Spring- x-
FHO
V
displacement =velocit
q-charge in
coulombs
mass
LC
i
circuit
=curren
in
ampere
Given the initial conditions y(0) =
%3D
Yo and y(0) = Zo , write a
FORTRAN program that uses the
modified Euler method to
simulate this system from t = 0 to t
%3D
= tf .
LINEAR SPRING
OF STIFFNESS K
C
INDUCTOR
CAPACITOR
(HENRYS)
1 IM MASS
(FARADS)
Transcribed Image Text:PROBLEM 24 - 0586: A free harmonic oscillator (FHO) is a system whose behavior can be described by a second- order, linear differential equation of the form: = -Ay(t) (1) where A is a positive constant. Two FHO systems are a spring-mass system and an LC electric circuit: Y=dy/dt y(t) Spring- x- FHO V displacement =velocit q-charge in coulombs mass LC i circuit =curren in ampere Given the initial conditions y(0) = %3D Yo and y(0) = Zo , write a FORTRAN program that uses the modified Euler method to simulate this system from t = 0 to t %3D = tf . LINEAR SPRING OF STIFFNESS K C INDUCTOR CAPACITOR (HENRYS) 1 IM MASS (FARADS)
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