Beads on a hoop that cause elevation
1. The problem statement, all variables and given/known data
There are two beads at the top of a hoop that is tied by a string. The beads start moving downward on the hoop on each side. M is the hoop's mass and m represents each bead's mass.
What is that mass ratio that will cause the hoop to elevate.
2. Relevant equations
T>= (M +2m)g
3. The attempt at a solution
I tried to go about this question but I couldn't finish the equations.
I know that the momentum on the x axis isn't relevant since the beads cancel each other out.
I'm not sure how to use the hoop as a constraint. I can find the difference in potential energy but I can't seem to connect it to the force - only to the momentum.
I would really appreciate the help.
welcome to pf!
hi michelle! welcome to pf! :wink:
(i expect you've already done that :wink:)
then find the acceleration of the beads,
then the reaction force on the beads …
what do you get? :smile:
Re: Beads on a hoop that cause elevation
Thank you very much. My problem was that I kept skipping to the bottom instead of finding the speed at every angle in which case the integral was irrelevant.
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