Spring+variable mass



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Topic: Science > Physics
User: "bobip"
Date: 19 Feb 2005 04:30:44 AM
Object: Spring+variable mass
I found a motion equation for
a "simple" mass+spring system,
whereas mass is time dependent m(t).
d(m*x')
K*x + -------- + 9.81*m = 0
dt
K is the spring costant
x(t) is the mass position.
Solving i found
1
x = --- *[ double integral(-kx-gm) + integrale(m' * x) ]
m
Assuming
x(t) = 0 without mass,
and m(0) = 1,8
how could i find x(t) ?
.

User: "Bjoern Feuerbacher"

Title: Re: Spring+variable mass 21 Feb 2005 05:22:42 AM
bobip wrote:

I found a motion equation for
a "simple" mass+spring system,
whereas mass is time dependent m(t).

d(m*x')
K*x + -------- + 9.81*m = 0
dt

K is the spring costant
x(t) is the mass position.
Solving i found


1
x = --- *[ double integral(-kx-gm) + integrale(m' * x) ]
m

Assuming
x(t) = 0 without mass,
and m(0) = 1,8
how could i find x(t) ?

I don't see how one could solve this without knowing the
explicit form of m(t).
Bye,
Bjoern
.


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