A mass m=4 is attached to both a spring with spring constant
k=145 and a dash-pot with damping constant c=4.
The ball is started in motion with initial position x0=1
and initial velocity v0=6 .
Determine the position function x(t) .
x(t)=?
Note that, in this problem, the motion of the spring is
underdamped, therefore the solution can be written in the form
x(t)=c1e^(-ρt)cos(ω1t-α1) .
Determine c1, ω1, ρ and α1.
c1=?
ω1=?
ρ=?
α1=?
Graph the function x(t) together...