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

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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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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