Question

Your grandmother enjoys creating pottery as a hobby. She uses a potter's wheel, which is a stone disk of radius R=0.560 m and mass M=100 kg . In operation, the wheel rotates at 40.0 rev/min. While the wheel is spinning, your grandmother works clay at the center of the wheel with her hands into a pot-shaped object with circular symmetry. When the correct shape is reached, she wants to stop the wheel in as short a time interval as possible, so that the shape of the pot is not further distorted by the rotation. She pushes continuously with a wet rag as hard as she can radially inward on the edge of the wheel and the wheel stops in 6.00 s.


(a) You would like to build a brake to stop the wheel in a shorter time interval, but you must determine the coefficient of friction between the rag and the wheel in order to design a better system. You determine that the maximum pressing force your grandmother can sustain for 6.00 s is 50.0 N.


(b) What If? If your grandmother instead chooses to press down on the upper surface of the wheel a distance r=0.250 m from the axis of rotation, what is the force (in N ) needed to stop the wheel in 6.00 s? Assume that the coefficient of kinetic friction between the wet rag and the wheel remains the same as before. (Enter the magnitude.)

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