Chapter 4.5, Problem 80E

To determine

(a)

The value of $y_0\left(t\right)$ .

To determine

(b)

When $t$ goes to infinity $y_0\left(t\right)$ ceases to be periodic and the value of amplitude $\left|y_0\left(t\right)\right|$.

To determine

(c)

To graph:

The oscillation of the spring, $y\left(t\right)=\left(\frac{1}{{\lambda }^2-{\omega }^2}\left(\lambda \sin \left(\omega t\right)-\omega \sin \left(\lambda t\right)\right)\right)$