- #1

maciejj

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## Homework Statement

A mass of 10kg is suspended from vertical spring of stiffens 100N/m and is provided with dashpot damper having damping coefficient of 1000Ns/m.

The mass is pulled down the distance of 4cm from its equilibrium position and than released.

Establish the differential equation of motion and solve using power series for variation in displacement with time.

## Homework Equations

## The Attempt at a Solution

Started with

mx''(t)=-kx(t)-cx'(t)

and initial conditions

t0=0,x(t0)=4cm=0.04m, x'(t0)=0,x''(t0)=0 here assume that velocity and acceleration=0

at t=0

after solving using power series got:

x(t)=a0+a1x+a2x2+a3x3+... a0=0.04 but all the rest of coefficients =0

That can be right ,please help