Find frequency and period of oscillation

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SUMMARY

The discussion focuses on calculating the frequency and period of oscillation for an ideal pulley system. The radius of the pulley is specified as 2 meters, and the moment of inertia (I) is given as 10 kg/m². The calculated frequency is 0.982 Hz, and the period is 1.01 seconds, which are confirmed as correct through the application of the principles of harmonic motion.

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  • Understanding of harmonic motion principles
  • Knowledge of moment of inertia calculations
  • Familiarity with oscillation frequency and period formulas
  • Basic physics of ideal pulley systems
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  • Study the derivation of the formulas for frequency and period in oscillatory systems
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gpat
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Homework Statement


Consider the pulley to be ideal. If the system disturbed from its equilibrium position by pulling the right hand mass down a slight amount and then released, determine the frequency and period of the oscillation. Radius of pulley is r=2m and I bar of the pulley is 10kg/m2.

here is the picture:
http://i26.tinypic.com/2hzu2yg.jpg


I got f=0.982hz and T=1.01s

Is that correct?
 
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Could you show how you got that?
 

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