**67. A small 0.500-kg object moves on a frictionless horizontal table in a circular path of radius 1.00 m. The angular speed is 6.28 rad/s. The object is attached to a string of negligible mass that passes through a small hole in the table at the center of the circle. Someone under the table begins to pull the string downward to make the circle smaller. If the string will tol- erate a tension of no more than 105 N, what is the radius of the smallest possible circle on which the object can move?

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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**67. A small 0.500-kg object moves on a frictionless horizontal table in a
circular path of radius 1.00 m. The angular speed is 6.28 rad/s. The object
is attached to a string of negligible mass that passes through a small hole
in the table at the center of the circle. Someone under the table begins to
pull the string downward to make the circle smaller. If the string will tol-
erate a tension of no more than 105 N, what is the radius of the smallest
possible circle on which the object can move?
Transcribed Image Text:**67. A small 0.500-kg object moves on a frictionless horizontal table in a circular path of radius 1.00 m. The angular speed is 6.28 rad/s. The object is attached to a string of negligible mass that passes through a small hole in the table at the center of the circle. Someone under the table begins to pull the string downward to make the circle smaller. If the string will tol- erate a tension of no more than 105 N, what is the radius of the smallest possible circle on which the object can move?
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