Recent content by hallic

I've created a second order homogeneous equation from my orginal data m(d^2x/dt^2) + kx = 0 how can I turn it into a expression of displacement relevant to time?

what I was looking for was a set of simultaneous equations to use iterative and elimination methods on, thanks for the help

I have a static spring system with 3 springs holding 2 masses in place I have the spring stiffnesses (K1=1N/m k2=3N/m k3=2N/m) and natural lengths (L1=3m L2=1m L3=2m) and the total length of the compressed springs (x1+x2+x3=4m) I know that I derive simultanious equations and use the iterative...

Homework Statement I have a static spring system with 3 springs holding 2 masses in place I have the spring stiffnesses (K1=1N/m k2=3N/m k3=2N/m) and natural lengths (L1=3m L2=1m L3=2m) and the total length of the compressed springs (x1+x2+x3=4m) Homework Equations 1/K(total) =1/K1 +...

I was asked to use a laplace transform to solve d^2x/dt^2 - 3(dx/dt) - 10x = e^-t with the initial conditions x(0) = 0 and x'(0) = 0 I got down to (s^2)x(s) - sx(0) - x'(0) - 3(sX(0) - x(0)) - 10X =1/(s+1) I tried plugging in the initail conditions and didnt get the answer I was supposed...