The below figure shows a uniform circular disc compound pendulum of mass m and radius a which is pivoting around point O. If the disc were to be displaced by a small angular displacement from its equilibrium position, find: 1. The equation of motion (EOM) of the disc for small angular displacements. 2. The natural frequency of the disc. 3. The values of b for which the above determined natural frequency is maximum.
The below figure shows a uniform circular disc compound pendulum of mass m and radius a which is pivoting around point O. If the disc were to be displaced by a small angular displacement from its equilibrium position, find: 1. The equation of motion (EOM) of the disc for small angular displacements. 2. The natural frequency of the disc. 3. The values of b for which the above determined natural frequency is maximum.
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Transcribed Image Text:The below figure shows a uniform circular disc compound pendulum of mass m
and radius a which is pivoting around point O. If the disc were to be displaced by a
small angular displacement from its equilibrium position, find:
1. The equation of motion (EOM) of the disc for small angular displacements.
2. The natural frequency of the disc.
3. The values of b for which the above determined natural frequency is
maximum.
b
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