 #1
 76
 0
Homework Statement
Find the Lagrangian and the Lagrangian equations for this pendulum (see the picture). Radius of circle is a, mass of the bob is m and l is the length of the pendulum when it hangs straight down.
Homework Equations
The Attempt at a Solution
I obtain:
[tex]L=\frac{1}{2}m(a^2\dot{\theta}^2+(l+a\theta)^2\dot{\theta}^2)mg(a\sin\theta(l+a\theta)\cos\theta)[/tex]
while the answer in the book misses the term [tex]a^2\dot{\theta}^2[/tex]  where have I gone wrong?
Thank you in advance.
Attachments

4.1 KB Views: 349