P. 4046. The figure shows a smooth vertical path. On the left-handside there is a ramp, the incline angle is =45o, than it is continued with a semi-circle of radius R, and then there is a parabola at the end. The symmetry axis of the parabola is vertical, and the parabola is open above. If a body travel through the path without friction, the normal force exerted on it does not change abruptly at the border of the semicircle and the parabola.
a) What is the height h of the parabola?
b) What is the least height H, measured from the ground, at which an object should be released in order to go through the whole path?