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A 21 mm diameter glass marble with a mass of 25 g rolls
without slipping down a track toward a vertical loop of radius
R = 15 cm, as shown in the figure.
Approximate the minimum translational speed umin the
marble must have in order to complete the loop without
falling off the track when it is a height H = 25 cm above the
bottom of the loop.
m/s
H
R
Figure is not to scale.

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