PART B Rolling without slipping M y a X4 (a) What is the moment of inertia of the sphere in terms of M and R? (b) Draw all the forces acting on the solid sphere in the above figure. (c) Using Newton's Second Law, write down the equation of motion for the center of the sphere along the x-direction defined in the figure. (d) Using Newton's Second Law for rotational motion, write down the equation of rotational motion. (e) Solve for the acceleration a from the two equations you obtained in parts (c) and (d). Assume the sphere is rolling without slipping, so do not forget there is a relationship between a and a.

PART B Rolling without slipping M y a X4 (a) What is the moment of inertia of the sphere in terms of M and R? (b) Draw all the forces acting on the solid sphere in the above figure. (c) Using Newton's Second Law, write down the equation of motion for the center of the sphere along the x-direction defined in the figure. (d) Using Newton's Second Law for rotational motion, write down the equation of rotational motion. (e) Solve for the acceleration a from the two equations you obtained in parts (c) and (d). Assume the sphere is rolling without slipping, so do not forget there is a relationship between a and a.

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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