A 625 gram basketball with a radius of 11.0 cm is a uniform hollow sphere that rolls without slipping along a horizontal surface of a floor such that the translational speed of the center of mass is 5.00 m/s. (a) What is the moment of inertia of the basketball? (b) What is the angular speed about the center of mass of the basketball as it rolls along the floor? (c) The basketball then reaches an incline that makes an angle of 30.0° above the horizontal. If we ignore any energy losses due to dissipative forces, then to what maximum vertical height above the floor will the basketball reach? Include a diagram of the situation.
A 625 gram basketball with a radius of 11.0 cm is a uniform hollow sphere that rolls without slipping along a horizontal surface of a floor such that the translational speed of the center of mass is 5.00 m/s. (a) What is the moment of inertia of the basketball? (b) What is the angular speed about the center of mass of the basketball as it rolls along the floor? (c) The basketball then reaches an incline that makes an angle of 30.0° above the horizontal. If we ignore any energy losses due to dissipative forces, then to what maximum vertical height above the floor will the basketball reach? Include a diagram of the situation.
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 10P: A wheel 2.00 m in diameter lies in a vertical plane and rotates about its central axis with a...
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