In Active Example 21.1, suppose that the pulley has radius R = 4 in and its moment of inertia is I = 0.06 slug-ft2. The suspended object weighs 5 lb, and the spring constant is k = 10 lb/ft. The system is initially at rest in its equilibrium position. At t = 0, the suspended object is given a downward velocity of 1 ft/s. Determine the position of the suspended object relative to its equilibrium position as a function of time.
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