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

Write down the Lagrangian for a cylinder mass m, radius R an moment of inertia I, that rolls without slipping straight down an inclined plane which is at an angle a from the horizontal. Use as your generalized coordinate the cylinder's distance x measure down the plane from its starting point. Write down the Lagrange equation and solve it for the cylinder's acceleration.

3. The attempt at a solution

I tried to find the Lagrangian, this is what i have so far, is it right?

i said that T=1/2mv^{2}+1/2Iw^{2}

and U= -mgxsina so my Lagrangian would be

L=1/2mv^{2}+1/2Iw^{2}+mgxsina.

I think this is correct, but I'm not positive. If it is right then should i write I and w (omega) differently? and then continue with the partial differentiation?

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Can someone check my Lagrangian ?

**Physics Forums | Science Articles, Homework Help, Discussion**