A top loading washing machin has a spin cycle that rotates at frequency f. The s

Question

A top loading washing machin has a spin cycle that rotates at frequency f. The spinning drum that hold the clothes has a radius r and a particular piece of clothing has mass m. Assume that the clothing is flattened tightly against the vertical inner wall of the drum so that the entire piece of cltohing can be conidered to be located at radius r.

express final answers in terms of: R, m, g, f

a) find an expression for the magnitude of the wall's mnormal force acting on the piece of clothing as the drum spins

b)find an expression for the minimum coefficient of static friction that will allow a piece of clothing to remain stuck to the inside wall of the drum without sliding downward toward the bottom of the tub

Explanation / Answer

cloth will be held against the wall due to centrifugal force.Fc

This will be equal to the  magnitude of the wall's normal force acting on the piece of clothing as the drum spins

a)Fc=(mV2)/r

angular velocity of drum= w rad/sec =2*pi*f

where f is machin's spin cycle frequency

V=w *r

magnitude of the wall's normal force acting on the piece of clothing as the drum spins FN=m* w2r= m*(2*pi*f)2*r

b)  coefficient of static friction=FN/F where F=mg

coefficient of static friction=((2*pi*f)2*r)/g

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