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## Homework Statement

Given a transfer function in the Laplace Domain

Detemine an expression for x(t), given f(t) is a sinusodial input with frequency omega = root(k2/m2) and amplitude of 1 N (initial conditions equal 0)

## Homework Equations

[URL]http://latex.codecogs.com/gif.latex?X_1/F=(m_2&space;s^2+k_2)/(m_1&space;m_2&space;s^4+k_2&space;(m_1+m_2)s^2&space;)[/URL]

Inverse laplace 1/s^2 = t.u(t)

Inverse laplace (omega/s^2+omega^2) = sin(omega.t) . u(t)

## The Attempt at a Solution

I divided the transfer function by m2 to obtain omega^2. I then brought the F over to the LHS as a sin function in the laplace domain (omega/s^2+omega^2). I have obtained the following equation

[URL]http://latex.codecogs.com/gif.latex?X_1=(1/s^2)&space;.w/((s^2&space;m_1+w^2&space;((m_1+m_2)/m_2&space;))[/URL]

What is the next step? I am given inverse laplace transforms for 1/s^2 and omega/s^2+omega^2

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