Max Mass Supported by 5.6-Diameter Suction Cup

AI Thread Summary
The maximum force a 5.6-diameter suction cup can support is calculated to be 250N, based on atmospheric pressure and the area of the cup. To determine the mass it can hold, the gravitational force must be considered, which is the weight of the mass supported by the cup. The coefficient of friction between the cup and the wall, which is 0.65, plays a crucial role in maintaining the cup's adhesion. The discussion suggests visualizing the cup in a horizontal position to better understand the forces acting on it. Ultimately, the calculation of mass supported requires integrating both the maximum force and the effects of friction.
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Homework Statement


How massive an object can be supported by a 5.6 -diameter suction cup mounted on a vertical wall, if the coefficient of friction between cup and wall is 0.65? Assume normal atmospheric pressure.

Homework Equations


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The Attempt at a Solution


I calculated the maximum force which I realized was when the pressure inside the suction =0
Therefore Fmax=pA=101.3*10^3(pi(0.028^2))= 250N.

I don't know how to find the how much mass can be supported by the suction cup. I tried a number of answers and they were all wrong.
 
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If you hook up some mass m to the cup, what forces will be acting on the cup?
 


Turn the experiment 90 degrees in your mind so that the suction cup is resting horizontally atop the wall instead of vertically against it.
 
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