hello All, I have a problem finding the inverse laplace of mass spring damper system.(adsbygoogle = window.adsbygoogle || []).push({});

Here are my equations. Please help me in finding the solution of x(t)

Actually, I am trying to find the value of x(t) for an underdamped condition.

(1/M)/(S^2+2ζω_n+〖ω_n〗^2 ) = (c_1 (S+a)+c_2 (ω))/((〖s+a)〗^2+ω^2 )

Now, If I apply the inverse laplace transform, I know that I need to get the value of x(t) as

e^(-at) (c_1 cosωt+c_2 sinωt)

So, If I can get to know the values of a and ω in (c_1 (S+a)+c_2 (ω))/((〖s+a)〗^2+ω^2 ) I can apply inverse laplace and find x(t).

Can someone help me in finding the values of a and ω

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# Homework Help: Inverse Laplace of mass spring damper system.

Can you offer guidance or do you also need help?

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