3. A washing machine has a spin cycle that rotates at frequency f he spinning dr

Question

3. A washing machine has a spin cycle that rotates at frequency f he spinning drum that holds 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 clothing can be considered to be located at radius Rfronn the center of the cylinder Express your final answers ONLY in terms of f, R, m, g, and exact mathematical constants in SIMPLEST algebraic form a. (2 pts.) Find an expression for the magnitude of the wall's normal force acting on the piece of clothing as the drum spins with frequency f show your b. (2 pts.) 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. Show your work.

Explanation / Answer

(a)

centripetal force Fc = m*R*w^2

angular freqency w = 2*pi*f

centripetal force Fc = m*R*4*pi^2*f^2

along radail

Fnet = 0

Fc - n = 0

normal force n = Fc = m*R^2*4*pi^2*f^2

================

(b)

along vertical

frictional force f = u*N

Fnet = 0

Fg - f = 0

f = Fg

u*m*R^2*4*pi^2*f^2 = m*g

u = g/(R^2*4*pi^2*f^2)    <<<<<<<<<<<<---------------answer

Related Questions

Navigate

• Browse (All)
• Browse 3
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.