A solid cylinder of mass 1.1 kg and radius 19 cm is yoked to a spring as shown. To be pre- cise, the axle of the cylinder is attached to a horizontal spring of force constant 719.7 N/m. The cylinder rolls back and forth on a hori- zontal base without slipping. For simplicity, assume that the spring, the axle and the yoke which connects them have negligible masses compared to the cylinder itself. 719.7 N/m -0000- 1.1 kg What is the angular frequency of the cylin- der rolling back and forth around the equlib- rium position? Answer in units of s-1

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 11.30P
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A solid cylinder of mass 1.1 kg and radius.
19 cm is yoked to a spring as shown. To be pre-
cise, the axle of the cylinder is attached to a
horizontal spring of force constant 719.7 N/m.
The cylinder rolls back and forth on a hori-
zontal base without slipping. For simplicity,
assume that the spring, the axle and the yoke
which connects them have negligible masses
compared to the cylinder itself.
719.7 N/m
momo
1.1 kg
What is the angular frequency of the cylin-
der rolling back and forth around the equlib-
rium position?
Answer in units of s-¹.
Transcribed Image Text:A solid cylinder of mass 1.1 kg and radius. 19 cm is yoked to a spring as shown. To be pre- cise, the axle of the cylinder is attached to a horizontal spring of force constant 719.7 N/m. The cylinder rolls back and forth on a hori- zontal base without slipping. For simplicity, assume that the spring, the axle and the yoke which connects them have negligible masses compared to the cylinder itself. 719.7 N/m momo 1.1 kg What is the angular frequency of the cylin- der rolling back and forth around the equlib- rium position? Answer in units of s-¹.
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