Calculating Conical Acceleration for a Rotating Object on a Table

AI Thread Summary
To calculate the range of speeds for a rotating object on a table before the supporting string breaks, one must consider the forces acting on the system, including tension and gravitational force. The maximum tension the string can withstand is determined by the weight of the hanging load, which is 25.0 kg. The centripetal force required for the object to maintain circular motion is provided by this tension. By applying the relevant equations for force and acceleration, the maximum and minimum speeds can be derived based on the radius of the circle and the mass of the rotating object. This approach will yield the desired range of speeds before the string breaks.
teresat628
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Homework Statement




A light string can support a stationary hanging load of 25.0 kg before breaking. A 3.60 kg object attached to the string rotates on a horizontal, frictionless table in a circle of radius 0.800 m, while the other end of the string is held fixed. What range of speeds can the object have before the string breaks?

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The Attempt at a Solution

 
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:smile: Hi teresa! Welcome to PF! :smile:​

Write down the relevant equations first (equations for force, equations for acceleration, conservation equations, etc).

They are the tools you have to work with …

Then show us your attempt at a solution. :smile:
 

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