In: Physics
Two wooden crates rest on top of one another. The smaller top
crate has a mass of m1 = 18 kg and the larger bottom
crate has a mass of m2 = 85 kg. There is NO friction
between the crate and the floor, but the coefficient of static
friction between the two crates is μs = 0.82 and the
coefficient of kinetic friction between the two crates is
μk = 0.66. A massless rope is attached to the lower
crate to pull it horizontally to the right (which should be
considered the positive direction for this problem).
A)The rope is pulled with a tension T = 406 N (which is small
enough that the top crate will not slide). What is the acceleration
of the small crate?
B)In the previous situation, what is the frictional force the lower
crate exerts on the upper crate?
C)What is the maximum tension that the lower crate can be pulled at
before the upper crate begins to slide?
D)The tension is increased in the rope to 1185 N causing the boxes
to accelerate faster and the top box to begin sliding. What is the
acceleration of the upper crate?
E)As the upper crate slides, what is the acceleration of the lower
crate?