Vibrating Spring without Damping. A vibrating spring without damping can be modeled by the initial value problem (11) in Example 3 by taking b = 0.
(a) If m = 10 kg, k = 250 kg/sec2, y(0) = 0.3 m, And y’(0) = -0.1 m/sec, find the equation of motion for this undamped vibrating spring.
(b) When the equation of motion is of the form displayed in (9), the motion is said to be oscillatory with frequency β/2π. Find the frequency of oscillation for the spring system of part (a).
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