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# A bead of mass m is threaded on a frictionless circular

ISBN: 9781891389221 90

## Solution for problem 11.26 Chapter 11

Classical Mechanics | 0th Edition

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Problem 11.26

A bead of mass m is threaded on a frictionless circular wire hoop of radius R and mass m (same mass). The hoop is suspended at the point A and is free to swing in its own vertical plane as shown in Figure 11.20. Using the angles q51 and 02 as generalized coordinates, solve for the normal frequencies of small oscillations, and find and describe the motion in the corresponding normal modes. [Hint: The KE of the hoop is .1. Iii , where I is its moment of inertia about A and can be found using the parallel axis theorem.]

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