Question: We now consider what happens when we apply an external force, F(t), to the system. By Newton's second law we have my00 =ky+F(t))my00 +ky=F(t). 2.

We now consider what happens when we apply an external force, F(t), to the system. By Newton's second law we have my00 =ky+F(t))my00 +ky=F(t). 2. Assume such a system has initial conditions y(0) = 0 and y0(0) = 0. If the mass is 1 unit, the spring constant is 1 and the external force is sin(2t), calculate y(t). Is y(t) bounded? Solution

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