Problem 4: Pushing Stacked Blocks with Friction Note: This is an important problem, straight out of a previous year's First Hour Exam. Make sure you can do this problem. instructor's hand Two blocks are placed together on a table as shown. Block A has a given mass my and Block B has a given mass my. There is friction between the two blocks. However, the surface of the table is frictionless. An instructor pushes horizontally on Block B with his finger with a constant given applied force Fapp. Assume that known values of both the coefficient of static friction /, and the coefficient of kinetic friction /4 are given parameters. a) Draw two Free Body Diagrams (FBDs), one for each block, showing all vertical and hori- zontal forces on each. Make sure that your diagrams clearly indicate the nature (type) and direction of each force. Make sure that your forces are labeled with appropriate subscripts, as needed. (For example, WA means the Weight Force on Block A. NAS means the Normal Force on Block A due to Block B.) b) First, let us assume that the given applied force Papp is small enough so that Block A is observed to neither slip nor slide relative to Block B. (In other words, Block A stays stuck to Block B). Calculate all of the forces on each of the two blocks. Also calculate the accelerations, an and ag for each of the two blocks. Express your answers in terms of the given parameters. Show your work. c) Second, now instead, let us assume that the given applied force Fapp is large enough so that Block A is observed to be sliding relative to Block B. In other words, Block A is no longer stuck to Block B. Calculate all of the forces on each of the two blocks. Also calculate the accelerations, o A and ap for each of the two blocks. Express your answers in terms of the given parameters. Show your work