Maths Question

Spongle said:

I have a maths question:

A physical mass-spring system is modelled by the second-order differential equation
M
d2y
dt2 + 2

dy
dt
+ ky = 0
where k is the spring constant,
is the damping coefficient, and M is the mass.
(i) Show that, if
2 < kM, the general solution to this system is
y(t) = e−t (Acos(t) + B sin(t))
and find expressions for  and  in terms of
, k, and M.
(ii) Graph the motion of the system for the initial conditions y(0) = 1, y′(0) = 0.
(iii) What is the period of the oscillation? In the limit that
! 0, what happens
to the period if the mass M is doubled?

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Spongle said:

I have a maths question:

...

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mazzatelli said:

It's pretty involved to set it all out, and especially on this forum with no latex capabilities.
Where exactly are you getting stuck?

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CanOz said:

Must be lacking some ky somewhere...

CanOz

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cynic said:

When I read Spongle's post, I thought that it was intended in jest.

Correct me if I'm wrong Spongle, but I currently feel quite certain that you already have the answers to your math questions.

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Spongle said:

Yeah I was just being an idiot for a change

I am in the process of learning how to answer such questions as I'm a 30 year old 1st year spaz and have to cover general calculus.

Chemistry is my bag oooooh I love it!

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