7.27** consider a double atwood machine constructed as follows: a mass 4m is suspended from a string that passes over a massless pulley on frictionless bearings. the other end of this string supports a second similar pulley, over which passes a second string supporting a mass of 3m at one end and m at the other. using two suitable generalized coordinates, set up the lagrangian and use the lagrange equations to find the acceleration of the mass 4m when the system is released. explain why the top pulley rotates even though it carries equal weights on each side. u ujjlli. look at taylor 7.27 (this is the double atwood machine problem that not to do in lecture on monday), and answer the following: ume that the a. there are four objects moving in this problem (you may assume lower pulley's mass is negligible, but its position still matters). how many constraints are there on the motion of these objects? b. after applying the constraints, how many generalized coordinates are you left with? state these generalized coordinates in terms of the heavier masses. c. construct the lagrangian in terms of the above generalized coordinates. d. follow through with the euler-lagrange equations to find the corresponding equations of motion. (they will be coupled, i. e. one acceleration will depend upon the other.) e. solve the equations of motion for each generalized acceleration, and plug them back into your expressions for the four moving masses.