A solid 0.5750 kg ball rolls without slipping down a track toward a vertical loop of radius R = 0.8150 m. What %3D minimum translational speed vmin must the ball have when it is a height H = 1.298 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/s? for the acceleration due to gravity.

A solid 0.5750 kg ball rolls without slipping down a track toward a vertical loop of radius R = 0.8150 m. What %3D minimum translational speed vmin must the ball have when it is a height H = 1.298 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/s? for the acceleration due to gravity.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

100%

A solid 0.5750 kg ball rolls without slipping down a track
toward a vertical loop of radius R = 0.8150 m. What
minimum translational speed vmin must the ball have when it
is a height H = 1.298 m above the bottom of the loop in order
to complete the loop without falling off the track?
R
Assume that the radius of the ball itself is much smaller than
H
the loop radius R. Use g = 9.810 m/s? for the acceleration
due to gravity.
Figure is not to scale.
Umin =
m/s

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