Question: Consider the simple model for a periodically forced pendulum (swing): my + 16y = cos(2t) where m is the mass of the pendulum bob

Consider the simple model for a periodically forced pendulum (swing): my" +

Consider the simple model for a periodically forced pendulum (swing): my" + 16y = cos(2t) where m is the mass of the pendulum bob (or person on swing). a) Write down the general solution to the homogeneous problem (f(x) = 0) for any value of m. b) For the forced problem, what value of m will result in the highest amplitude motion? In other words, what value of m causes resonance? Why? c) For this special value of m, find the general solution.

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