Roger&Me
Bluelighter
Hey P-sox:
A massless spring of spring constant k is mounted on a turntable of rotational inertia I. 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 leaves the spring moving at right angles to a line through the center of the turntable, at a distance b from the center, and slides without friction across the table and off. Find expressions for (a) the linear speed of the mass and (b) the rotational speed of the turntable. Hint: What's conserved?
A massless spring of spring constant k is mounted on a turntable of rotational inertia I. 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 leaves the spring moving at right angles to a line through the center of the turntable, at a distance b from the center, and slides without friction across the table and off. Find expressions for (a) the linear speed of the mass and (b) the rotational speed of the turntable. Hint: What's conserved?
