A solid 0.6950 kg ball rolls without slipping down a track toward a vertical loop of radius R = 0.6550 m. What minimum translational speed vmin must the ball have when it is a height H = 0.9727 m above the bottom of the loop in order to complete the loop without falling off the track? Assume that the radius of the ball itself is much smaller than H the loop radius R. Use g = 9.810 m/s2 for the acceleration due to gravity.

University Physics Volume 1
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Author:William Moebs, Samuel J. Ling, Jeff Sanny
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Chapter11: Angular Momentum
Section: Chapter Questions
Problem 33P: A hollow cylinder that is rolling without slipping is given a velocity of 5.0 m/s and rolls up an...
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A solid 0.6950 kg ball rolls without slipping down a track
toward a vertical loop of radius R
0.6550 m. What
minimum translational speed vmin must the ball have when it
is a height H
0.9727 m above the bottom of the loop in
order to complete the loop without falling off the track?
Assume that the radius of the ball itself is much smaller than
R
H
the loop radius R. Use g = 9.810 m/s² for the acceleration
due to gravity.
Figure is not to scale.
Umin =
3.60
m/s
Transcribed Image Text:A solid 0.6950 kg ball rolls without slipping down a track toward a vertical loop of radius R 0.6550 m. What minimum translational speed vmin must the ball have when it is a height H 0.9727 m above the bottom of the loop in order to complete the loop without falling off the track? Assume that the radius of the ball itself is much smaller than R H the loop radius R. Use g = 9.810 m/s² for the acceleration due to gravity. Figure is not to scale. Umin = 3.60 m/s
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