Solution A7 V50, reshebnik termehu Targ SM 1982

Solution of the D7 version 50 of Reshebnik on theoretical mechanics of guidance manuals SM Targ 1982. CONDITION TO THE PROBLEM D7 (p. 79-82 Manuals Targ SM 1982.): The drum of radius R weight P has a recess (as in the coil) of radius r = 0,6R (Figure D7.0 - D7.9, Table. . D 7). To the ends of yarns wound on the drum constant applied force F1 and F2, directions are determined by the angle β; except for forces on the drum acts to couple moment M; When in Table M <0, the direction opposite to the time shown in the figure. When driving, starting from rest, the drum rolls without slipping on an inclined plane with a rough angle α as shown in Figs. Neglecting the rolling resistance, to determine the law of motion of the mass center of the drum, ie. E. XC = f (t), and the lowest value of the coefficient of friction f of the plane in which the possible rolling without slipping. The drum is regarded as a continuous homogeneous cylinder of radius R. The task D7- the use of differential equations of plane rigid body motion.