A tube bent in the form of one turn of a spiral is attached to the side surface of a vertically located solid cylinder of mass M, radius R and height H, along which a ball of mass m can slide without friction (figure). The cylinder can rotate around its axis. The ball is lowered into the upper hole of the tube without an initial speed. Find the speed of the ball after leaving the lower end of the tube. Neglect the mass of the tube and friction in the axis. Assume that 2nR = 2H, and the mass of the ball m = M/4.
Answer. Format gif
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