A solid marble, a solid disk and a hoop have the same mass (M = 1.4 kg) and the same radius. Each object is held at rest at the same height and then released. At the bottom of the ramp is a loop-the-loop of radius 1.4 m.

a) What is the minimum height that the marble, disk and hoop can be released so that all three will safely make it around the loop-the loop?

b) At the top of the loop-the-loop, what is the force the track exerts on the hoop when released at the minimum height?

c) At the top of the loop-the-loop, what is the force the track exerts on the marble when released at the minimum height?

d) At the top of the loop-the-loop, what is the force the track exerts on the disk when released at the minimum height?