h 4 Batman has attached a cable to a crate on a rooftop and is rappelling down the side of a skyscraper. (Because superhero reasons.) Assume a massless pulley and ignore friction between the cable and the pulley. The coefficients of friction between the crate and the rooftop are 0.2 and 0.3. a) Draw your free body diagrams for the crate and for Batman; write out your forces as vectors. Let's zoom in on the moment just before the crate begins to slide (0 net acceleration in this infinitesimally small At). At what mass ratio between Batman and the crate will the crate begin to slide? mBatman/mcrate = ...neat, right? b) Now, assume Batman is 96 kg and the crate is 106 kg. This is greater than the ratio you calculated in a, so the crate will begin to slide. What is the acceleration of the crate? m/s c) What is the magnitude of Batman's acceleration? m/s2 d) What is the tension in the cable? N