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## Homework Statement

(see attachment for figure)

A small object is mounted to the perimeter of a hoop of radius r. The mass of the object and the hoop is same. The hoop is placed into a fixed semi-cylinder shaped rough trough of radius R, such that small mass is at top. Find the least r/R ratio such that the object performs simple harmonic motion.

## Homework Equations

## The Attempt at a Solution

I honestly have no idea on how should I begin to solve this problem, this is very different from the SHM problems I have done.

Any help is appreciated. Thanks!

#### Attachments

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