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A massless spring with constant k is mounted on a turntable of rotational inertia I, as shown in Fig. 11.19. The turntable is on a frictionless vertical axle, though initially it’s not rotating. The spring is compressed a distance Δx 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 turntable’s center, at a distance b from the center, and slides without friction across the table and off the edge. Find expressions for (a) the linear speed of the mass and (b) the rotational speed of the turntable. (Hint: What’s conserved?)
FIGURE 11.19 Problem 58
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