Converting from T-domain to S-domain?

[mhnassif]

Homework Statement

convert T-domain to S-domain

F(t)= e^-4t *sin10t

Homework Equations

The Attempt at a Solution

sin10t converted to 10/[(S^2)+100]

but how can i convert e^-4t ?

 

[ryan88]

You can use a table of laplace transforms to find this easily: http://www.vibrationdata.com/Laplace.htm

 

[mhnassif]

Thank you,

I know exp(-at) on s-domain will be

But is the Alpha sign a constant, to replace it with a value?

 

[ryan88]

I just took a closer look at that table, I'm not sure why they used a and alpha. Basically this should be:

$$\mathcal{L}\left(e^{-at})\right = \frac{1}{s+a}$$

Hope that helps,

Ryan

 

[mhnassif]

I just took a closer look at that table, I'm not sure why they used a and alpha. Basically this should be:

$$\mathcal{L}\left(e^{-at})\right = \frac{1}{s+a}$$

Hope that helps,

Ryan

Solved ,, Thank You ,

Have a nice day