A particle of mass 0.1kg moves in a circular path on a horizontal frictionless plane, attached freely to a point 0 by an inelastic spring of negligible mass which can support a maximum tension of 1N without breaking.Determine the maximum angular velocity with which the particle can circulate about 0 in a path of radius 1m without breaking the string.

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter8: Central-force Motion
Section: Chapter Questions
Problem 8.45P
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A particle of mass 0.1kg moves in a circular path on a horizontal frictionless plane, attached freely to a point 0 by an inelastic spring of negligible mass which can support a maximum tension of 1N without breaking.Determine the maximum angular velocity with which the particle can circulate about 0 in a path of radius 1m without breaking the string.

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