Question

A uniform rod of mass *250* g and length *75* cm
is free to rotate in a horizontal plane around a fixed vertical
axis through its center, perpendicular to its length. Two small
beads, each of mass *25* g, are mounted in grooves along the
rod. Initially, the two beads are held by catches on opposite sides
of the rod’s center, *9* cm from the axis of rotation. With
the beads in this position, the rod is rotating with an angular
velocity of *7.5* rad/s. When the catches are released, the
beads slide outward along the rod.

a) What is the rod’s angular velocity, in rad/s, when the beads reach the ends of the rod?

b) What is the rod’s angular velocity, in rad/s, if the beads fly off the rod?

Answer #1

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