A wheel is free to rotate about its fixed axle. A spring is attached to one of its spokes a distance r from the axle, . (a) Assuming that the wheel is a hoop of mass m and radius R, what is the angular frequency v of small oscillations of this system in terms of m, R, r, and the spring constant k? What is v if (b) r = R and (c) r = 0?

A wheel is free to rotate about its fixed axle. A spring is attached to one of its spokes a distance r from the axle, . (a) Assuming that the wheel is a hoop of mass m and radius R, what is the angular frequency v of small oscillations of this system in terms of m, R, r, and the spring constant k? What is v if (b) r = R and (c) r = 0?

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter11: Dynamics Of Rigid Bodies

Section: Chapter Questions

Problem 11.9P

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