A light string can support a stationary hanging load of 26.8 kg before breaking.

Question

A light string can support a stationary hanging load of 26.8 kg before breaking. An object of mass m = 2.87 kg attached to the string rotates on a frictionless, horizontal table in a circle of radius r = 0.781 m, and the other end of the string is held fixed as in the figure below. What range of speeds can the object have before the string breaks?
0 ? v ? m/s

A light string can support a stationary hanging load of 26.8 kg before breaking. An object of mass m = 2.87 kg attached to the string rotates on a frictionless, horizontal table in a circle of radius r = 0.781 m, and the other end of the string is held fixed as in the figure below. What range of speeds can the object have before the string breaks?

Explanation / Answer

The maximum tension for the string is:
T = m g
T = (26.8 kg) (9.81 m/s

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