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.
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.
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7770660f-0b8b-434e-a7dd-75ed5e2767f0%2F28313407-30fc-4dd3-929b-c31ed29fb72f%2Fgdbrdol_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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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