(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Kleppner & Kolenkow 7.7

A thin hoop of mass M and radius R is suspended from a string

through a point on the rim of the hoop. If the support is turned with

high angular velocity [tex]\omega[/tex], the hoop will spin as shown, with its plane nearly

horizontal and its center nearly on the axis of the support. The string

makes angle [tex]\alpha[/tex] with the vertical.

Find, approximately, the small angle ([tex]\beta[/tex] between the plane of the

hoop and the horizontal.

2. Relevant equations

3. The attempt at a solution

torque = RMg cos[tex]\beta[/tex]

angular momentum = I[tex]\omega[/tex]

I don't know how to link these equations. I'm not really sure if this is a gyroscope problem to use its formula. Can anyone help me please?

And one question, how do I determine if a system is precessing, means it's a gyroscopic problem or not?

Thanks!

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# Homework Help: Rotating hoop (gyroscope?)

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