Two solid cylinders are connected along their common axis by a short light rod. Both have radius R and combined mass M and are on a horizontal tabletop. A spring with force constant k has one end attached to a frictionless ring at the center of the cylinders, the other end is attached to a fixed clamp. The cylinders are set into motion pulled by amount x and released. There is sufficient friction between the table top and the cylinders for the cylinders to roll without slipping. Show that the rotational motion is simple harmonic and find the period. Lic periuu. fridion is M. present lalllll Re call I = MR? %3D cM R DISK

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter10: Fixed-axis Rotation
Section: Chapter Questions
Problem 115AP: A pendulum consists of a rod of length 2 m and mass 3 kg with a solid sphere of mass 1 kg and radius...
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Two solid cylinders are connected along their common axis by a short light rod. Both have radius R and combined mass M and are on a
horizontal tabletop. A spring with force constant k has one end attached to a frictionless ring at the center of the cylinders, the other
end is attached to a fixed clamp. The cylinders are set into motion pulled by amount x and released. There is sufficient friction between
the table top and the cylinders for the cylinders to roll without slipping. Show that the rotational motion is simple harmonic and find
the period.
tHie pënou.
ricion is
present
laalllllll
Re call I
MR?
CM
R
DISK
Transcribed Image Text:Two solid cylinders are connected along their common axis by a short light rod. Both have radius R and combined mass M and are on a horizontal tabletop. A spring with force constant k has one end attached to a frictionless ring at the center of the cylinders, the other end is attached to a fixed clamp. The cylinders are set into motion pulled by amount x and released. There is sufficient friction between the table top and the cylinders for the cylinders to roll without slipping. Show that the rotational motion is simple harmonic and find the period. tHie pënou. ricion is present laalllllll Re call I MR? CM R DISK
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