60. A uniform rod of mass 200 g and length 100 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 20 g, are mounted in grooves along the rod. Initially, the two beads are held by catches on opposite sides of the rod's center, 10 cm from the axis of rotation. With the beads in this position, the rod is rotating with an angular velocity of 10.0 rad/s. When the catches are released, the beads slide outward along the rod. (a) What is the rod's angular velocity when the beads reach the ends of the rod? (b) What is the rod's angular velocity if the beads fly off the rod?

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60. A uniform rod of mass 200 g and length 100 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 20 g, are mounted in grooves
along the rod. Initially, the two beads are held
by catches on opposite sides of the rod's center,
10 cm from the axis of rotation. With the beads
in this position, the rod is rotating with an
angular velocity of 10.0 rad/s. When the catches
are released, the beads slide outward along the
rod. (a) What is the rod's angular velocity when
the beads reach the ends of the rod? (b) What is
the rod's angular velocity if the beads fly off the
rod?
Transcribed Image Text:60. A uniform rod of mass 200 g and length 100 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 20 g, are mounted in grooves along the rod. Initially, the two beads are held by catches on opposite sides of the rod's center, 10 cm from the axis of rotation. With the beads in this position, the rod is rotating with an angular velocity of 10.0 rad/s. When the catches are released, the beads slide outward along the rod. (a) What is the rod's angular velocity when the beads reach the ends of the rod? (b) What is the rod's angular velocity if the beads fly off the rod?
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