Spring physics CFrame interpolation?

I have this code right now (credit to treyreynolds) which deals with Vector3 positioning, but I need to figure out a way to convert it to using CFrames so I can "spring interpolate" angles. I can clarify further upon request. Right now, all it does is convert the Vector3 position to a CFrame without factoring in angular orientation.

dampen=0.5
speed=1
restpos=workspace.Part.Position
pos=restpos
vel=Vector3.new(0,0,100)

while true do
    restpos = workspace.Part.Position
    local dt=wait()/speed
    local accel=restpos-pos-2*dampen*vel
    vel=vel+dt*accel
    pos=pos+dt*vel
    workspace.MovePart.CFrame = CFrame.new(pos)
end