Frequency of Small Oscillations

AI Thread Summary
The discussion focuses on determining the optimal distance d from the center of a uniform coin to maximize the frequency of small oscillations when the coin is pivoted. It references the potential energy equation and the relationship between angular frequency and the second derivative of potential energy. Participants emphasize treating the coin as a physical pendulum and suggest starting with the calculation of the moment of inertia about the pivot point. The conversation highlights the need for clarity in understanding the underlying physics concepts. Overall, the aim is to find the value of d that results in the highest frequency of oscillation.
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1. A uniform coin with radius R is pivoted at a point that is a distance d from its center. The coin is free to swing back and forth in the vertical plane defined by the plane of the coin. For what value of d is the frequency of small oscillations largest?



2. V(x)\equivpotential energy; V(x)\approx\frac{1}{2}V"(x_{o})(x-x_{o})^{2} ; omega is equal to the square root of V"(x)/m



3. I have no idea what to do. My textbook is vague and my notes from lecture are not sufficient. I don't want a solution, just a push in the right direction
 
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Treat this as a physical pendulum. Begin by finding the moment of inertia about the pivot.
 
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