Meeting the challenge of D1 Option 97 Reshebnik on theoretical mechanics manuals SM Targ 1983.
Conditions D1 problem (p. 29-31 Taskbook Targ SM 1983):
Cargo weight D m, A received at an initial speed v0, moves in a curved pipe ABC, situated in a vertical plane; pipe sections, or both slope, or one horizontal and one inclined (Fig. D1.0, D1.9 Table. D1). Figure AB in goods other than gravity are constant force Q (its direction is shown in the figures) and the strength of the medium resistance R, it depends on the load speed v (directed against the motion).
At the point in the load, without changing the values ​​of its speed, the sun moves to the tube station, where he was except gravity acting variable force F, which Fx projection on the x-axis is given in the table.
Considering the load of the material point and knowing the distance AB = l and the time t1 the movement of cargo from point A to point B. Find the cargo movement in the portion BC, ie x = f (t), where x = BD. Friction load of neglected pipe.