Deriving RPM for Object Slipping from Rotating Surface

AI Thread Summary
To derive the RPM at which an object begins to slip on a rapidly rotating surface, one must consider the forces acting on the object, including centripetal force and friction. The critical rotation rate occurs when the centripetal force exceeds the maximum static frictional force. An expression can be formulated by equating these forces and solving for the angular velocity. Understanding the relationship between tangential acceleration and the distance from the center is crucial in this derivation. The discussion emphasizes the need to analyze the forces and their directions to find the solution.
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Homework Statement



A object(have mass M1) is placed at a R1 distance from the center of a horizontal surface that can rotate. The surface rotation is very FAST INCREASE ( tangential acceleration is non-negligible) until the surface reaches a cirtical rotation rate. At that instant, the object begins to slip with respect to the surface. Derive an expression for number of rotation per minute made by the surface at this critical time.
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Homework Equations


The Attempt at a Solution


I have no idea...Can somebody give my a hint? thank you
 
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