Part E Two uniform, solid cylinders of radius R and total mass M are connected along their common axis by a short, light rod and rest on a horizontal tabletop (Figure 1). A frictionless ring at the rod's center is attached to a spring of force constant k; the spring's other end is fixed. The cylinders are pulled to the left a distance *, stretching the spring, then released from rest. Due to friction between the tabletop and the cylinders, the cylinders roll without slipping as they oscillate. Show that the motion of the center of mass of the cylinders is simple harmonic, and find its period. Use Newton's second Law for translational motion to express friction force fs- Express your answer in terms the variables M, a, k, and r. > View Available Hint(s) f. = Submit Part F Figure < 1 of 1 Use Newton's second Law for rotational motion and your answer for Part C to express the friction force in tems of a. Express your answer in terms of some, all, or none of the variables M, R, and a. • View Available Hint(s) f. Submit

Part E Two uniform, solid cylinders of radius R and total mass M are connected along their common axis by a short, light rod and rest on a horizontal tabletop (Figure 1). A frictionless ring at the rod's center is attached to a spring of force constant k; the spring's other end is fixed. The cylinders are pulled to the left a distance *, stretching the spring, then released from rest. Due to friction between the tabletop and the cylinders, the cylinders roll without slipping as they oscillate. Show that the motion of the center of mass of the cylinders is simple harmonic, and find its period. Use Newton's second Law for translational motion to express friction force fs- Express your answer in terms the variables M, a, k, and r. > View Available Hint(s) f. = Submit Part F Figure < 1 of 1 Use Newton's second Law for rotational motion and your answer for Part C to express the friction force in tems of a. Express your answer in terms of some, all, or none of the variables M, R, and a. • View Available Hint(s) f. Submit

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

<HW11
Bridging Problem: Oscillating and Rolling
Part E
Two uniform, solid cylinders of radius R and total mass M are
connected along their common axis by a short, light rod and rest
on a horizontal tabletop (Figure 1). A frictionless ring at the rod's
center is attached to a spring of force constant k; the spring's
Use Newton's second Law for translational motion
express friction force f.
other end is fixed. The cylinders are pulled to the left a distance
2, stretching the spring, then released from rest. Due to friction
between the tabletop and the cylinders, the cylinders roll without
slipping as they oscillate. Show that the motion of the center of
mass of the cylinders is simple harmonic, and find its period.
Express your answer in terms of the variables M, a, k, and r.
> View Available Hint(s)
f. =
Submit
Part F
Figure
< 1 of 1>
Use Newton's second Law for rotational motion and your answer for Part C to express the friction force in terms of a.
Express your answer in terms of some, all, or none of the variables M, R, and a.
• View Available Hint(s)
Submit

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