ding washing machine has a spin cyele that rotates at frequency f. The spining d
ID: 1583723 • Letter: D
Question
ding washing machine has a spin cyele that rotates at frequency f. The spining drun hened tigtly that holds the attened tightly be considered to be located at clothes has a radius R, and a particular piece of clothing has mass im . (Assume that the clothing is le dgairist the vertical inner wall of the drum, so that the entire piece of clothing can radius R from the center of the cylinder.) Express your final answers ONLY in terms of S, 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 work. 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)The cloth has normal force equal to the centripital force due to rotational motion
N = m v^2/R
we know that, v = r w = R (2 pi f)
F = m (r 2 pi f)^2/R = N
N = m R^2 4 pi^2 f^2/R = 4 pi^2 f^2 m r
r
Hence, N = 4 pi^2 f^2 m R.
b)We know that
Ff = u N = u [4 pi^2 f^2 m R]
frictional force Ff balances the gravitational force
u 4 pi^2 f^2 m R = mg
u = g/[4 pi^2 f^2 R]
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.