Solution of the D3 B32 (Fig. 3 conv. 2) termehu Targ 1988

Solution of the D3 Option 32 on the theoretical mechanics of the problem book Targ SM 1988. Conditions problem D3 (p. 44 in the training manual Targ SM): The mechanical system consists of the weights 1 u2 (coefficient of friction of the cargo plane F = 0,1), a uniform continuous cylindrical roller 3 and the stepped pulleys 4 and 5 with radii steps R4 = 0,3 m, r4 = 0,1 m, R5 = 0,2 m, r5 = 0,1 m (the mass of each pulley assumed uniformly distributed over its outer rim) (Fig. D3.0, D3.9, Table. D3). Body of interconnected yarns wound on the pulleys; Lots of threads are parallel to the planes. Under the force of F = f (x), which depends on the displacement of the point of force application, the system is set in motion from rest. When the system moves on pulleys 4 and 5, a constant torque resistance equal respectively M4 and M5. Determine the value of the required quantity at the time when the displacement of the point of application of force F is equal to s1.