Two masses, m1 and m2, are falling but not freely. In additionto gravity, there is also a force F1 applied directly to m1 in thedownward direction and a force F2 applied directly to m2 in thehorizontal direction. Friction (µs) is present between the twomasses and the forces are applied such that they do not rotate. Theforce F2 is as large as it can be and not have m2 slide relative tom1. (a) Find an expression for the acceleration of the center ofmass of the m1 + m2 system in terms of m1, m2, F1, F2, and g? (b)Draw a FBD for each mass separately. Identify motion constraintsand Newton's 3rd law force pairs. (c) Write down Newton's 2nd lawapplied to each mass separately. (d) If both masses are each 2 kg,the coefficient of static friction between the surface is µs = 1/2,and F1 = 25 N, What is the value of F2?
