Undamped Systems Flashcards
1
Q
What is the DE of an Undamped System
A
mx’’ + kx = 0
2
Q
What is the General Solution of an Undamped System?
A
x(t) = c1 cos(wt) + c2 sin(wt)
= AsinΦcos(wt) + AcosΦsin(wt)
3
Q
What do the letters mean in an Undamped system: s, m, k, x, x’, x’’, Φ
A
s - Initial Elongation @ Equilibrium
m - Mass of object attached to spring
k - Spring Constant
x - Elongation when in motion (Force Applied)
x’ - Velocity
x’‘ - Acceleration
Φ - Phase Shift
4
Q
What are two equations for the Weight of an Object?
A
W = mg
W = ks
