Angular Frequency of Uniform Disk | Calculation & Solution

AI Thread Summary
To find the angular frequency of a uniform disk suspended as a physical pendulum, the moment of inertia must be calculated using the parallel axis theorem. The relevant equation for angular frequency is w = sqrt(k/m), where k is the effective spring constant derived from the rotational inertia and the distance from the pivot. The radius and mass of the disk are given, and the pivot point is located 0.35m above the center of mass. Properly applying these principles will yield the angular frequency for small oscillations. Understanding the relationship between moment of inertia and angular frequency is crucial for solving this problem accurately.
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Homework Statement



A uniform disk of radius 1.4m and mass 2.6kg is suspended from a pivot 0.35m above its center of mass. Find the angular frequency w for small oscillations.

Homework Equations



w = 2 x pi x f = sqrt (k/m)

The Attempt at a Solution



Is this the equation I would use to solve this problem? Or does moment of inertia have to be considered also?
 
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This is a physical pendulum. (Look it up!) You'll need to compute the rotational inertia about the pivot point.
 
Use the parallel axis theorem to find the moment of inertia of the disk about the pivot point.
 

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