A stone of mass 0.5kg attached to a string of length 50cm will break when the tension exceed 20N. The stone is whirled in a vertical circle, the axis of rotation at height 100cm above the ground. At what position and angular speed is the break most likely to occur.
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Expert's answer
2021-07-22T10:03:29-0400
T=Fc+Fg
where:
Fc−centrifugal force
Fc=ma=mω2r
Fg−gravity force
Fg=mg
The break will happen when:
Fc+Fg−maximum
The maximum occurs when the forces are equally directed,
that is, at the lowest point of the trajectory.
We take into account the fact that gravity is directed
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