ok so these are my two equations of motion
mg\cos\theta + ma\dot\theta^2=\lambda
and
ma^2\ddot\theta + mga\sin\theta = 0
plus the equations of constraint that r=a.
then what i was doing was setting lambda to zero to find where the tensions force goes to zero for slack...
Ok. So my lagrangian is
L = \frac{1}{2}m(\dot r^2 + r^2 \dot \theta ^2 ) + mgr\cos (\theta )
with the constraint that r=a or f=r-a
from this i can get the equations of motion for \theta and \omega
next i solve for the lagrangian multiplier and get \lambda for the r equation...
A mass hangs on a string and is struck by a horizontal impulsive force that introduces an angular velocity w, using a lagrangian multiplier what are the conditions that causes the string to go slack.
the constraint is simply that the string is of constant length and therefore the radius of...
A carousel going counter clockwise starts from rest and accelerates at a constant angular acceleration of 0.02 rev/s^2. A girl sitting on a bench on the platform 7 m from the center is holding a 3kg ball. Calculate the magnitude and the direction of the force she must exert to hold the ball 6s...