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10 Nov 2019
A uniform rod of mass 300 g and length 50 cm rotates in ahorizontal plane about a fixed, vertical, frictionless pin throughits center. Two small, dense beads, each of mass m, aremounted on the rod so that they can slide without friction alongits length. Initally, the beads are held by catches at positions10.0 cm on each side of the center, and the system is rotating atan angular speed of 36.0 rad/s. The catches are releasedsimultaneously, and the beads slide outward along the rod.
(a) find the angular speed wf of the system atthe instant the beads slide off the ends of the rod as it dependson m.
(b) what are the maxiumum and minimum possible values forwf and the values of m to which theycorrespond?
A uniform rod of mass 300 g and length 50 cm rotates in ahorizontal plane about a fixed, vertical, frictionless pin throughits center. Two small, dense beads, each of mass m, aremounted on the rod so that they can slide without friction alongits length. Initally, the beads are held by catches at positions10.0 cm on each side of the center, and the system is rotating atan angular speed of 36.0 rad/s. The catches are releasedsimultaneously, and the beads slide outward along the rod.
(a) find the angular speed wf of the system atthe instant the beads slide off the ends of the rod as it dependson m.
(b) what are the maxiumum and minimum possible values forwf and the values of m to which theycorrespond?
Deanna HettingerLv2
13 May 2019