In this assignment, you must use variables, loops, if statements, your own function definitions and function calls to write the required functions. For now, you may not use any of the powerful functions available in python modules, with a few exceptions: You may import functions from the math, copy, matplotlib.plot, numpy and scipy. a) On the next page you will find a dynamics problem that solves for the motion of two masses in a compound pulley system. In that solution, equations (2), (3) and (4) must be solved simultaneously. Use FSOLVE to solve those three equations. Print the three answers nicely formatted. Note: those three equations are linear, and could be solved using a linear solver, but FSOLVE will solve them nicely and I want you to use FSOLVE. 1322. The 50-kg block A is released from rest. Determine the velocity of the 15-kg block in 2 SOLUTION Kinematics. As shown in Fig. 4, the position of block B and point A are specified by 5p ands, respectively. Here the pulley system has only one cable which gives 54+ x + 258 - ) = 1 (1) Taking the time derivative of Eq. (1) twice 4 + 3a = 0 (2) Equations of Motion. The FBD of blocks and A are shown in Fig band e. To be consistent to those in Eq. (2), #, and ag are assumed to be directed towards the positive sense of their respective position coordinates 8and For block B, +TER mai 3T - 15(981) - 15) (3) For block A, + YF, = ma, T - 5049.81) = 50(-as) Solving Eqs (2), (3) and (4). Ag - -2.848 m/s2 - 2.848 m/s 1 - 8.554 m/s I= 63,29N The negative sign indicates that ag acts in the sense opposite to that shown in FBD. The velocity of block B can be determined using + = ( + Ug = 0 + 2.848(2) 3g = 5.696 m/s = 5.70 m/s AA WA 5019.80)N ag (C) S 15(980N (a) (b) - 5.70 m/st