A solid marble, a solid disk and a hoop have the same mass (M = 1.4 kg) and the

Question

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 1.9 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?

Explanation / Answer

The minimum linear velocity u at the top of the loop must be such that u^2= rg = 1.1*9.8

u = 3.283 m/s.
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M.I of a sphere is (2/5) mr

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