(Solution Library) The displacement from equilibrium of an object in harmonic motion on the end of a spring is y=1/3 cos (12t)-1/4 sin (12t) where y is


Question: The displacement from equilibrium of an object in harmonic motion on the end of a spring is

\[y=\frac{1}{3}\cos \left( 12t \right)-\frac{1}{4}\sin \left( 12t \right)\]

where y is measured in ft, and t is measured in seconds. Determine the position and velocity of the object when \(t=\frac{\pi }{8}\).

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