Solution D19-06 by the Lagrange method from Yablonsky's

ATTENTION! This solution goes as the second way to the solution D19-06. Therefore, the solution without a picture!
The figure is in the search above "Solution to problem D19-06 from the collection of A. Yablonsky"

Task D19-06_Lagrange.tif

For a given mechanical system, determine the acceleration of loads and tension in the branches of the threads to which the loads are attached. The masses of threads are neglected. The rolling friction and resistance forces in the bearings are not taken into account. The system moves from a state of rest.
Variants of mechanical systems are shown in Fig. 198 - 200, and the data necessary for the solution are given in table. 55.
Blocks and rollers for which the radii of inertia are not indicated in the table shall be considered continuous homogeneous cylinders.