bar breaks when it is subjected to a 25kN traction. One end of the bar is attached to a motor and the other to a steel ball with a mass of 55 kg (with the numbers of the When the motor is started, the ball describes a horizontal circumference with a radius 5.0 m. If the engine speed is gradually increased, its rotation period gradually decreases as well. For what period of engine rotation does the bar break?

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It is known that an aluminum bar
breaks when it is subjected to a 25kN traction. One end of the bar is attached to a motor and the other to a steel ball with a
mass of 55 kg (with the numbers of the When the motor is started, the ball describes a horizontal circumference with a radius
5.0 m. If the engine speed is gradually increased, its rotation period gradually decreases as well. For what period of engine rotation does the bar break? Suppose the mass of the bar is negligible compared to the
mass of the sphere and give your answer with 2 decimal places.

Expert Solution
Step 1

When sphere rotates in circular motion a centripetal force acts on the sphere.

Centripetal force is given as 

Fc = mω2r

Where

ω is angular velocity and r is radius of path of motion.

 

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