n in the Fig. 3, the CM of a cylinder SR is connected to the top of hoop of
n in the Fig. 3, the CM of a cylinder SR is connected to the top of hoop of
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Question
As shown in the Fig. 3, the CM of a cylinder of mass m and radius R is connected to the top of hoop of mass m by a spring. The spring constant is assumed to be known and it is denoted by k. At a given moment the system is slightly compressed and then suddenly released. After the release, both rigid objects roll without slipping. Determine the angular frequency of the resulting oscillation. It is assumed that the spring remains horizontal throughout the motion. Figure 3: Coupled Oscillator

Transcribed Image Text:4. As shown in the Fig. 3, the CM of a cylinder of mass
m and radius R is connected to the top of hoop of mass m
by a spring. The spring constant is assumed to be known
and it is denoted by k. At a given moment the system is
slightly compressed and then suddenly released. After the
release, both rigid objects roll without slipping. Determine
the angular frequency of the resulting oscillation. It is
assumed that the spring remains horizontal throughout
the motion.
R
Φ
ms
k
www
m.
R
2R
R
Figure 3: Coupled Oscillator
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