In a crank and slotted lever quick return mechanism the distance between the fixed centers is 240 mm and the length of the driving crank is 120mm .Find the inclination of the slotted bar with the vertical in the extreme position and the time ratio of cutting stroke to the return stroke. If the length of the slotted bar is 450mm find the length of the stroke if the line of stroke passes through the extreme positions of the free end of the lever.