A particle of mass m is attached to the end of a string and moves in a circle of radius r on a frictionless horizontal table. The string passes through a frictionless hole in the table and, initially, the other end is fixed. a. If the string is pulled so that the radius of the circular orbit decreases, how does the angular velocity change if it is wo when r = ro? b. What work is done when the particle is pulled slowly in from a radius ro to a radius ro/2?
A particle of mass m is attached to the end of a string and moves in a circle of radius r on a frictionless horizontal table. The string passes through a frictionless hole in the table and, initially, the other end is fixed. a. If the string is pulled so that the radius of the circular orbit decreases, how does the angular velocity change if it is wo when r = ro? b. What work is done when the particle is pulled slowly in from a radius ro to a radius ro/2?
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Transcribed Image Text:A particle of mass m is attached to the end of a string and moves in a circle of radius r
on a frictionless horizontal table. The string passes through a frictionless hole in the
table and, initially, the other end is fixed.
a. If the string is pulled so that the radius of the circular orbit decreases, how
does the angular velocity change if it is wo when r = ro?
6.
b. What work is done when the particle is pulled slowly in from a radius ro to a
radius ro/2?
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