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## Homework Statement

Determine the max and min values of x and their times from 0 to 2s

initial conditions X

_{0}= 0, V

_{0}= 1m/s

http://img266.imageshack.us/img266/2198/figure1.jpg [Broken]

## Homework Equations

Undamped force vibration:

m[tex]\ddot{x}[/tex]+kx = F

_{0}sin[tex]\omega[/tex]t

Damped force vibration:

x = Asin([tex]\omega[/tex]t - [tex]\phi[/tex]) ,where [tex]\phi[/tex]=phase ans A=amplitude

NB [tex]\omega[/tex] should not be superscripted

## The Attempt at a Solution

ive drawn a free body diagram as follows

http://img266.imageshack.us/img266/5150/freebody.jpg [Broken]

forget to add m[tex]\ddot{x}[/tex] coming off the side.

resolving forces:

[tex]\sum[/tex]F

_{x}= m[tex]\ddot{x}[/tex] = -cx - kx + F

m[tex]\ddot{x}[/tex] + cx + kx = F

Not sure where to go from here, ultimately i need to plot a graph to show the response of the 10kg mass and see where the max and min distances (x) happen and at what times

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