A massless spring with constant k is mounted on a turntable of rotational inertia I, as

Chapter 11, Problem 50

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A massless spring with constant k is mounted on a turntable of rotational inertia I, as shown in Fig. 11.16. The turntable is on a frictionless vertical axle, though initially its not rotating. The spring is compressed a distance from its equilibrium, with a mass m placed against it. When the spring is released, the mass moves at right angles to a line through the turntables center, at a distance b from the center, and slides without friction across the table and over the edge. Find expressions for (a) the linear speed of the mass and (b) the rotational speed of the turntable. (Hint: Whats conserved?)

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