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A pulley of radius R. and mass M' is xed to the ceiling and can rotate without friction. A Inassless inextensible rope is wound around

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A pulley of radius R. and mass M' is xed to the ceiling and can rotate without friction. A Inassless inextensible rope is wound around this pulley, and leaves it going down and then up, carrying another pulley1 also radius R and mass M'. The end of the rope is xed to the ceiling. The movable pulley carries a load of mass m on its axis, and also has no friction in the axis. Assume that friction between the rope and the pulley is suiciently strong so that the rope does not slide along the pulleys. Find the acceleration of the load when the system is released. A uniform disc of radius 1' is initially at rest touching a vertical wall which lriakes a circular half-turn with the curvature radius R (the side-view crosssection as shown) below. The disc is released at height equal to R. above the circle centre, and rolls without slip as long as it is in contact with the wall. Find the position of the disc (relative to the initial level) when it reaches the maximum height after leaving the tube

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