OK, here's a first take. Assume there is no air in the tube. What you drop in will accelerate towards the centre of the earth, with the gravitational force acting on it reducing all the while. At the centre there is no net grav. force: your object will carry on going, with the (increasing) grav. force decelerating it. Assuming no air resistance, the object will come to a halt at the surface in the Antipodes, then immediately accelerate back down the hole, and so on. -.-.-.- So the immediate effect is that all intercontinental airlines go broke in short order!. -.-.-.- If the tube did contain air, things you dropped would get very hot, and the oscillations would die down, depositing the objects at or around the centre of the earth.