A light string can support a stationary hanging load of 27.0 kg before breaking.

Question

A light string can support a stationary hanging load of 27.0 kg before breaking. An object of mass m = 2.89 kg attached to the string rotates on a frictionless, horizontal table in a circle of radius r = 0.775 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?

A light string can support a stationary hanging load of 27.0 kg before breaking. An object of mass m = 2.89 kg attached to the string rotates on a frictionless, horizontal table in a circle of radius r = 0.775 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

T = Mg = m*V^2/r

V ^2 = Mgr/m = (27*9.8*0.775)/2.89

V = 8.4236 m/s

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