As shown in the below figure, Block1 (length: L, mass: m) is placed on Block2 (length: 4L, mass: 4m) that moves on the table surface. Assume that there is no friction between Block2 and the table surface, but that the coefficient of static friction is μs and the coefficient of kinetic friction is μk between Block1 and Block2. Block1 is connected to Block3 (mass: m3) with a very light (massless) cable. The pulley is frictionless and does not rotate. The gravitational acceleration is g. The left end of Block1 is aligned to the left end of Block2 and they are rest at time t = 0.
(a) (2 섐) Find the maximum acceleration of this system for Block1 and Block2 together to slip on the frictionless surface.
(b) (4 섐) Find the mass of Block3 (m3) with the given information such that Block1 just starts to slip on Block2 from rest.
For following questions, suppose the mass of Block3 (m3) is replaced with ‘3m’ that is greater than the value(m3) you found in (b) part (3m > m3). In this condition, Block1 slips on Block2 while Block2 slips on the frictionless surface. The left end of Block1 is aligned to the left end of Block2 and they are rest at time t = 0.
(c) (5 섐) Draw each free-body diagram of Block1, Block2, and Block3 and then calculate the acceleration of the blocks (Block1, Block2, and Block3).
(d) (4 섐) Find the distance that Block2 has moved while Block1 moves ‘3L’ relatively on Block2.