A solid 0.4150 kg0.4150 kg ball rolls without slipping down a track toward a vertical loop of radius ?=0.8750 mR=0.8750 m. What minimum translational speed ?minvmin must the ball have when it is a height ?=1.347 mH=1.347 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 the loop radius ?R. Use ?=9.810 m/s2g=9.810 m/s2 for the acceleration due to gravity.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter10: Rotational Motion
Section: Chapter Questions
Problem 83P: A solid sphere of mass m and radius r rolls without slipping along the track shown in Figure P10.83....
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A solid 0.4150 kg0.4150 kg ball rolls without slipping down a track toward a vertical loop of radius ?=0.8750 mR=0.8750 m. What minimum translational speed ?minvmin must the ball have when it is a height ?=1.347 mH=1.347 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 the loop radius ?R. Use ?=9.810 m/s2g=9.810 m/s2 for the acceleration due to gravity.

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