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
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.
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.