Asmall solid porcelain sphere, with a mass m and radius r, is placed on the inclined section of the metal track shown below, such that its lowest point is at a height h above the bottom of the loop. the sphere is then released from rest, and it rolls on the track without slipping. in your analysis, use the approximation that the radius r of the sphere is much smaller than both the radius r of the loop and the height h. (use the following as necessary: m, r, and g for the acceleration of gravity.)
a) what is the minimum value of h (in terms of r) such that the sphere completes the loop? b) what are the components of the net force on the sphere at the point p if h = 3r? use a coordinate system where the +x-direction is to the right and the +y-direction is up. (assume point p has a height r above the horizontal section of the track.)