1. A light string can support a stationary hanging load of 24.6 kg before breaki

Question

1. A light string can support a stationary hanging load of 24.6 kg before breaking. An object of mass m = 2.99 kg attached to the string rotates on a frictionless, horizontal table in a circle of radius r = 0.811 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 24.6 kg before breaking. An object of mass m = 2.99 kg attached to the string rotates on a frictionless, horizontal table in a circle of radius r = 0.811 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

Explanation / Answer

a) Tension T = mv^2 /r = Mg

2.99*v^2 /0.811 = 24.6*9.81

v = 8.0905 m/s

b)

mg = 60 N

m = 60 / 9.81 = 6.116 kg

F = mv^2 /r

= 6.116*6.3^2 /2.4

= 101.1468 N

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