# second order ODE solution for this system??

by karamustafa
Tags: order, solution
 P: 2 hello guys, I am wondering if what is the analytical solution for this system? can we solve it as a mass-spring-damper system? thanks for your helps. the rectangular part is removed from the disk. [IMG][/IMG] Attached Thumbnails
 P: 288 So the DE is ax'' + bx' + cx = 0 Write the characteristic equation... an^2 + bn + c = 0 Solve for n using the quadratic formula... n = [-b +- sqrt(b^2 - 4ac)] / 2a This will give you two (possibly non-unique) exponents. if the exponents are different, say n1 and n2, then the solution is x(t) = Aexp(n1 t) + Bexp(n2 t) If the exponents are the same, then x(t) = Aexp(n t) + B t exp(n t) Am I missing something, or does this answer your question?
 P: 2 thanks a lot, that is the answer if the motion is linear, how about the angular motion? how can i modify this equation.??
P: 288

## second order ODE solution for this system??

To make it angular, rewrite it using "theta" instead of "x".

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