A solid disc with radius R is connected to spring at point (d) distance above the center of disc. The other end of the spring is fixed to the vertical wall. The disc is free to roll without slipping on the ground. The mass of dise is (M) and the spring constant is (K). The polar moment of inertia for disc about its center is J 1/2MR2 , so the natural frequancy for the system is

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
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Chapter9: Moments And Products Of Inertia Of Areas
Section: Chapter Questions
Problem 9.40P
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A solid disc with radius R is connected to spring at point (d) distance above
the center of disc. The other end of the spring is fixed to the vertical wall. The
disc is free to roll without slipping on the ground. The mass of disc is (M) and
the spring constant is (K). The polar moment of inertia for disc about its
center is J = 1/2MR2 , so the natural frequancy for the system is
1
2K(R+d)²
MR2
the Answer is O
1
2K
2п
3M
Transcribed Image Text:A solid disc with radius R is connected to spring at point (d) distance above the center of disc. The other end of the spring is fixed to the vertical wall. The disc is free to roll without slipping on the ground. The mass of disc is (M) and the spring constant is (K). The polar moment of inertia for disc about its center is J = 1/2MR2 , so the natural frequancy for the system is 1 2K(R+d)² MR2 the Answer is O 1 2K 2п 3M
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