Explore BrainMass

Explore BrainMass

    LaPlace Transforms and Differential Equations : Masses and Springs

    Not what you're looking for? Search our solutions OR ask your own Custom question.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    In system below spring k1 is anchored at the left side and has a spring constant of k1, spring K2 has a spring constant of k2; the system is not subjected to friction or damping.

    Block M is subjected to a periodic driving force f(t) = A sin(ωt).

    Both masses are initially at rest in the equilibrium position

    Using Laplace transforms, derive and solve the initial value problem for the displacement function.

    Show that if m and K2 are chosen so that ω= (K2/m)^1/2 that m cancels the forced vibration of M.

    See attached file for full problem description.

    © BrainMass Inc. brainmass.com December 24, 2021, 6:18 pm ad1c9bdddf


    Solution Summary

    LaPlace Transforms and Differential Equations are applied to Masses and Springs.The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.