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## Homework Statement

I have coursework on rhe convolution integral, however i am struggling to find the equation of motion to start the whole thing off with.

I will attach a picture of the problem, is is simply a cantilevered bar with a concentrated mass on the end and a damper.

## Homework Equations

I am assuming you find the deflection at the end of the beam as a result of the force P(t), which i think is

P(t)L^3/3EI

However i am not sure where to go from here

## The Attempt at a Solution

Thinking it may possibly be

m[tex]\ddot{x}[/tex]+c[tex]\dot{x}[/tex]=P(t)L^3/3EI

however i think i may need to add in stiffness somewhere else..