CGGURUMANJUNATH
  • CGGURUMANJUNATH
\int { mg\cos { \theta } d\theta } =\int { mR\ddot { \theta } } d\theta
Physics
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CGGURUMANJUNATH
  • CGGURUMANJUNATH
\[\int\limits { mg\cos { \theta } d\theta } =\int\limits { mR\ddot { \theta } } d\theta \]
CGGURUMANJUNATH
  • CGGURUMANJUNATH
integrate wrt theta ,theta dot and theta double dot. i will give medal .can any body help.
Vincent-Lyon.Fr
  • Vincent-Lyon.Fr
Do you have a figure that goes with this equation?

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CGGURUMANJUNATH
  • CGGURUMANJUNATH
NO IT IS POLAR COORDINATE WITH CIRCULAR SURFACE,THESE ARE EQUATIONS OF MOTIONS. @Vincent-Lyon.Fr
Vincent-Lyon.Fr
  • Vincent-Lyon.Fr
So it is a circular path. The plane is probably vertical. Is theta defined with respect the the vertical or the horizontal?
CGGURUMANJUNATH
  • CGGURUMANJUNATH
theta is inclined angle.
CGGURUMANJUNATH
  • CGGURUMANJUNATH
theta is inclined angle.
CGGURUMANJUNATH
  • CGGURUMANJUNATH
@Vincent-Lyon.Fr
CGGURUMANJUNATH
  • CGGURUMANJUNATH
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Vincent-Lyon.Fr
  • Vincent-Lyon.Fr
This will work only if figure is as such:|dw:1377855876650:dw| and if system is conservative. Use ΔKE = – ΔPE
CGGURUMANJUNATH
  • CGGURUMANJUNATH
can u explain me the steps ?
Vincent-Lyon.Fr
  • Vincent-Lyon.Fr
Express KE wrt \(\dot \theta\) Express PE wrt \(\theta\) Differentiate both and equate.
CGGURUMANJUNATH
  • CGGURUMANJUNATH
can u explain ?
Vincent-Lyon.Fr
  • Vincent-Lyon.Fr
Well, I cannot do it for you. Follow the steps and show your work, then we can help further.
CGGURUMANJUNATH
  • CGGURUMANJUNATH
ke wrt theta ? what is the equation ?

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