Termehu Targ in 1988 the solution of D5 79 (Fig. 7 conv. 9)

The finished solution of the D5 version 79 of teormeh of Taskbook Targ SM 1988. See Terms of D5 to the problem (p. 52 in the training manual Targ SM): The mechanical system consists of a stepped pulley 1 u2 weight P1 and P2 with the radii of stages R1 = R, r1 = 0,4R; R2 = R, r3 = 0,8R (weight of each pulley assumed to be uniformly distributed along its outer rim); loads 3, 4 and a homogeneous solid cylindrical roller 5 weight P3, P4, P5, respectively (Fig. D5.0-D5.9 Table. D5). The bodies of the system are connected filaments wound on pulleys; Lots of threads are parallel to the planes. Cargo planes glides on without friction, and rollers are rolling without slipping. In addition to the forces of gravity on one of the bodies of a constant force F, and the pulleys 1 and 2 during their rotation a constant torque resistance, which are equal to M1 and M2. Create a system for the Lagrange equation and determine from it the amount specified in the table under "Search", where indicated: E1, E2 - angular acceleration of the pulleys 1 and 2; a3, a4, AC5 - acceleration loads 3, 4 and the center of mass of the roller 5, respectively. When it is necessary to define the problem E1, E2, take R = 0,25 m. One of the weights 3, 4, whose weight is equal to zero, the figure does not depict. Pulleys 1 and 2 are always included in the system.


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