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.

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter11: Angular Momentum

Section: Chapter Questions

Problem 54P: A cylinder with rotational inertia I1=2.0kgm2 rotates clockwise about a vertical axis through its...

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