[填空题]
washing machine contains a cylinder that cavt m2q7p8jd9arries clothes and rotates in a circuld89tpjq2ma v 7clyj( e 8d0)i.fo qmd;ar motion about a horizontal axis as shown in the diagram. Frictional forces act between the clothes and the inner surface ofe0(dq)8 l.dmocf;i jy the cylinder.
The radius of the cylinder is 0.27m and its linear speed of rotation of the outside of the cylinder is$1.6ms^{-1}$
1.Draw the free body diagram for the piece of clothing at the position shown.
2.1The laundry machine cylinder is designed to make the piece of clothing lose contact with the cylinder at an angle θ above the horizontal as shown.
The free body diagram for the piece of clothing at this position is given below.
Give an expression for the centripetal force at the position shown.
2.Calculate the angular speed, expressing your answer to the correct number of significant figures $rads^{-1}$
3.Show that θ=75° when the piece of clothing loses contact with the cylinder.
4.Determine the time taken for a piece of clothing to move from the lowest point of the cylinder (point A) to the point where it loses contact. s
