Help understanding centrefugal force

  • Thread starter Liquidxlax
  • Start date
  • #1
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Homework Statement



Basically i have to prove a lagrange equation using a non-inertial reference frame. A bead on a hoop where the hoop rotates as in the image below.


mN8wY.png


F = Fg + Fcf

Homework Equations



mR(d2θ/dt2) = mΩ2Rcosθsinθ -mgsinθ

what i'm supposed to get

The Attempt at a Solution



Fg = -mgsinθ

Fcf = m(ΩxR)xΩ = mΩ2Rcosθsinθ

I know that

Ω = Ω(0 , sinθ, cosθ)

R = R( 0 ,


k i'm just lost and frustrated :(
 

Answers and Replies

  • #2
Spinnor
Gold Member
2,176
381
This is probably late but does this work?
 

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